76827633120 has 216 divisors, whose sum is σ = 304978545144. Its totient is φ = 17560585728.

The previous prime is 76827633119. The next prime is 76827633131. The reversal of 76827633120 is 2133672867.

76827633120 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 7 + 633 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473854 + ... + 614973.

It is an arithmetic number, because the mean of its divisors is an integer number (1411937709).

Almost surely, 2^76827633120 is an apocalyptic number.

76827633120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76827633120 is an abundant number, since it is smaller than the sum of its proper divisors (228150912024).

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

76827633120 is a wasteful number, since it uses less digits than its factorization.

76827633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088862 (or 1088844 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 76827633120 in words is "seventy-six billion, eight hundred twenty-seven million, six hundred thirty-three thousand, one hundred twenty".