76236960 has 96 divisors (see below), whose sum is σ = 243637632. Its totient is φ = 20034560.

The previous prime is 76236947. The next prime is 76236977. The reversal of 76236960 is 6963267.

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

It is a congruent number.

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, 32962 + ... + 35198.

It is an arithmetic number, because the mean of its divisors is an integer number (2537892).

Almost surely, 2^76236960 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 76236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121818816).

76236960 is an abundant number, since it is smaller than the sum of its proper divisors (167400672).

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

76236960 is a wasteful number, since it uses less digits than its factorization.

76236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 76236960 is about 8731.3778981327. The cubic root of 76236960 is about 424.0221300897.

The spelling of 76236960 in words is "seventy-six million, two hundred thirty-six thousand, nine hundred sixty".