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772668828 = 223310766863
BaseRepresentation
bin101110000011011…
…111110110011100
31222211220122101000
4232003133312130
53040300400303
6204400550300
725101401541
oct5603376634
91884818330
10772668828
11367173588
12196922390
13c41038b9
1474892bc8
1547c78da3
hex2e0dfd9c

772668828 has 48 divisors (see below), whose sum is σ = 2021967360. Its totient is φ = 255145392.

The previous prime is 772668823. The next prime is 772668833. The reversal of 772668828 is 828866277.

It is an interprime number because it is at equal distance from previous prime (772668823) and next prime (772668833).

It is a super-3 number, since 3×7726688283 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772668823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21876 + ... + 44987.

It is an arithmetic number, because the mean of its divisors is an integer number (42124320).

Almost surely, 2772668828 is an apocalyptic number.

It is an amenable number.

772668828 is an abundant number, since it is smaller than the sum of its proper divisors (1249298532).

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

772668828 is a wasteful number, since it uses less digits than its factorization.

772668828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66983 (or 66975 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 772668828 is about 27796.9211964203. The cubic root of 772668828 is about 917.6233663653.

The spelling of 772668828 in words is "seven hundred seventy-two million, six hundred sixty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 66863 133726 200589 267452 401178 601767 802356 1203534 1805301 2407068 3610602 7154341 7221204 14308682 21463023 28617364 42926046 64389069 85852092 128778138 193167207 257556276 386334414 772668828