76964160 has 224 divisors, whose sum is σ = 301093632. Its totient is φ = 16220160.

The previous prime is 76964131. The next prime is 76964177. The reversal of 76964160 is 6146967.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 86920 + ... + 87800.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 2^76964160 is an apocalyptic number.

76964160 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 76964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

76964160 is an abundant number, since it is smaller than the sum of its proper divisors (224129472).

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

76964160 is a wasteful number, since it uses less digits than its factorization.

76964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 76964160 is about 8772.9219761719. The cubic root of 76964160 is about 425.3660698350.

The spelling of 76964160 in words is "seventy-six million, nine hundred sixty-four thousand, one hundred sixty".