76988509920 has 864 divisors, whose sum is σ = 321202941696. Its totient is φ = 16721510400.

The previous prime is 76988509907. The next prime is 76988509931. The reversal of 76988509920 is 2990588967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133428672 + ... + 133429248.

It is an arithmetic number, because the mean of its divisors is an integer number (371762664).

Almost surely, 2^76988509920 is an apocalyptic number.

76988509920 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 76988509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160601470848).

76988509920 is an abundant number, since it is smaller than the sum of its proper divisors (244214431776).

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

76988509920 is a wasteful number, since it uses less digits than its factorization.

76988509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 76988509920 in words is "seventy-six billion, nine hundred eighty-eight million, five hundred nine thousand, nine hundred twenty".