76081393920 has 288 divisors, whose sum is σ = 278079234048. Its totient is φ = 17366114304.

The previous prime is 76081393919. The next prime is 76081393937. The reversal of 76081393920 is 2939318067.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76081393920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25991497 + ... + 25994423.

It is an arithmetic number, because the mean of its divisors is an integer number (965552896).

Almost surely, 2^76081393920 is an apocalyptic number.

76081393920 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 76081393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139039617024).

76081393920 is an abundant number, since it is smaller than the sum of its proper divisors (201997840128).

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

76081393920 is a wasteful number, since it uses less digits than its factorization.

76081393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 76081393920 in words is "seventy-six billion, eighty-one million, three hundred ninety-three thousand, nine hundred twenty".