76983553920 has 512 divisors, whose sum is σ = 315159828480. Its totient is φ = 15535669248.

The previous prime is 76983553883. The next prime is 76983553931. The reversal of 76983553920 is 2935538967.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4008982 + ... + 4028138.

It is an arithmetic number, because the mean of its divisors is an integer number (615546540).

Almost surely, 2^76983553920 is an apocalyptic number.

76983553920 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 76983553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157579914240).

76983553920 is an abundant number, since it is smaller than the sum of its proper divisors (238176274560).

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

76983553920 is a wasteful number, since it uses less digits than its factorization.

76983553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19222 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 76983553920 in words is "seventy-six billion, nine hundred eighty-three million, five hundred fifty-three thousand, nine hundred twenty".