76392960 has 320 divisors, whose sum is σ = 294624000. Its totient is φ = 16859136.

The previous prime is 76392949. The next prime is 76392973. The reversal of 76392960 is 6929367.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634226 + ... + 2634254.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^76392960 is an apocalyptic number.

76392960 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 76392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

76392960 is an abundant number, since it is smaller than the sum of its proper divisors (218231040).

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

76392960 is an equidigital number, since it uses as much as digits as its factorization.

76392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 76392960 is about 8740.3066307767. The cubic root of 76392960 is about 424.3111516938.

The spelling of 76392960 in words is "seventy-six million, three hundred ninety-two thousand, nine hundred sixty".