76927898880 has 432 divisors, whose sum is σ = 317563525440. Its totient is φ = 17583132672.

The previous prime is 76927898821. The next prime is 76927898881. The reversal of 76927898880 is 8889872967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76927898799 and 76927898808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76927898881) 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 47 ways as a sum of consecutive naturals, for example, 1670727 + ... + 1716153.

Almost surely, 2^76927898880 is an apocalyptic number.

76927898880 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 76927898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158781762720).

76927898880 is an abundant number, since it is smaller than the sum of its proper divisors (240635626560).

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

76927898880 is a wasteful number, since it uses less digits than its factorization.

76927898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45471 (or 45444 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 76927898880 in words is "seventy-six billion, nine hundred twenty-seven million, eight hundred ninety-eight thousand, eight hundred eighty".