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770082040 = 235721330223
BaseRepresentation
bin101101111001101…
…000010011111000
31222200001012222001
4231321220103320
53034120111130
6204225310344
725040406100
oct5571502370
91880035861
10770082040
11365767042
12195a953b4
13c3709360
14743bc200
15479176ca
hex2de684f8

770082040 has 96 divisors (see below), whose sum is σ = 2170687680. Its totient is φ = 243710208.

The previous prime is 770082029. The next prime is 770082091. The reversal of 770082040 is 40280077.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10369 + ... + 40591.

It is an arithmetic number, because the mean of its divisors is an integer number (22611330).

Almost surely, 2770082040 is an apocalyptic number.

770082040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085343840).

770082040 is an abundant number, since it is smaller than the sum of its proper divisors (1400605640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

770082040 is a wasteful number, since it uses less digits than its factorization.

770082040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30261 (or 30250 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 770082040 is about 27750.3520698387. The cubic root of 770082040 is about 916.5981962448.

The spelling of 770082040 in words is "seven hundred seventy million, eighty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 30223 60446 120892 151115 211561 241784 302230 392899 423122 604460 785798 846244 1057805 1208920 1480927 1571596 1692488 1964495 2115610 2750293 2961854 3143192 3928990 4231220 5500586 5923708 7404635 7857980 8462440 11001172 11847416 13751465 14809270 15715960 19252051 22002344 27502930 29618540 38504102 55005860 59237080 77008204 96260255 110011720 154016408 192520510 385041020 770082040