76956880 has 240 divisors, whose sum is σ = 248234112. Its totient is φ = 21427200.

The previous prime is 76956863. The next prime is 76956881. The reversal of 76956880 is 8865967.

It is a super-2 number, since 2×76956880² = 11844722758668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76956881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482465 + ... + 2482495.

Almost surely, 2^76956880 is an apocalyptic number.

76956880 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 76956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124117056).

76956880 is an abundant number, since it is smaller than the sum of its proper divisors (171277232).

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

76956880 is a wasteful number, since it uses less digits than its factorization.

76956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 76956880 is about 8772.5070532887. The cubic root of 76956880 is about 425.3526576935.

The spelling of 76956880 in words is "seventy-six million, nine hundred fifty-six thousand, eight hundred eighty".