76146720 has 96 divisors (see below), whose sum is σ = 258334272. Its totient is φ = 18742272.

The previous prime is 76146713. The next prime is 76146751. The reversal of 76146720 is 2764167.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 12341.

It is an arithmetic number, because the mean of its divisors is an integer number (2690982).

Almost surely, 2^76146720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129167136).

76146720 is an abundant number, since it is smaller than the sum of its proper divisors (182187552).

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

76146720 is a wasteful number, since it uses less digits than its factorization.

76146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 76146720 is about 8726.2087987854. The cubic root of 76146720 is about 423.8547621697.

The spelling of 76146720 in words is "seventy-six million, one hundred forty-six thousand, seven hundred twenty".