Search a number
-
+
770270720 = 2951931559
BaseRepresentation
bin101101111010010…
…110011000000000
31222200101210210012
4231322112120000
53034142130340
6204233324052
725042123142
oct5572263000
91880353705
10770270720
1136588587a
12195b66628
13c37741bb
147442ac92
1547953565
hex2de96600

770270720 has 80 divisors (see below), whose sum is σ = 1857604320. Its totient is φ = 306315264.

The previous prime is 770270719. The next prime is 770270723. The reversal of 770270720 is 27072077.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770270723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493301 + ... + 494859.

It is an arithmetic number, because the mean of its divisors is an integer number (23220054).

Almost surely, 2770270720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928802160).

770270720 is an abundant number, since it is smaller than the sum of its proper divisors (1087333600).

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

770270720 is a wasteful number, since it uses less digits than its factorization.

770270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 32.

The square root of 770270720 is about 27753.7514581362. The cubic root of 770270720 is about 916.6730495791.

The spelling of 770270720 in words is "seven hundred seventy million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 386 512 640 772 965 1280 1544 1559 1930 2560 3088 3118 3860 6176 6236 7720 7795 12352 12472 15440 15590 24704 24944 30880 31180 49408 49888 61760 62360 98816 99776 123520 124720 199552 247040 249440 300887 399104 494080 498880 601774 798208 997760 1203548 1504435 1995520 2407096 3008870 3991040 4814192 6017740 9628384 12035480 19256768 24070960 38513536 48141920 77027072 96283840 154054144 192567680 385135360 770270720