76855680 has 192 divisors, whose sum is σ = 289757520. Its totient is φ = 18616320.

The previous prime is 76855661. The next prime is 76855687. The reversal of 76855680 is 8655867.

76855680 = 1155² + 1156² + ... + 1209².

76855680 is a `hidden beast` number, since 7 + 6 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76855687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62754 + ... + 63966.

Almost surely, 2^76855680 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 76855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144878760).

76855680 is an abundant number, since it is smaller than the sum of its proper divisors (212901840).

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

76855680 is a wasteful number, since it uses less digits than its factorization.

76855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 76855680 is about 8766.7371353315. The cubic root of 76855680 is about 425.1661265198.

The spelling of 76855680 in words is "seventy-six million, eight hundred fifty-five thousand, six hundred eighty".