76932218880 has 1280 divisors, whose sum is σ = 328861969920. Its totient is φ = 16986931200.

The previous prime is 76932218873. The next prime is 76932218963. The reversal of 76932218880 is 8881223967.

It is a happy number.

76932218880 is a `hidden beast` number, since 7 + 69 + 322 + 188 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2481684465 + ... + 2481684495.

It is an arithmetic number, because the mean of its divisors is an integer number (256923414).

Almost surely, 2^76932218880 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 76932218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164430984960).

76932218880 is an abundant number, since it is smaller than the sum of its proper divisors (251929751040).

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

76932218880 is a wasteful number, since it uses less digits than its factorization.

76932218880 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 2322432, while the sum is 54.

The spelling of 76932218880 in words is "seventy-six billion, nine hundred thirty-two million, two hundred eighteen thousand, eight hundred eighty".