75996960 has 192 divisors, whose sum is σ = 271797120. Its totient is φ = 17694720.

The previous prime is 75996931. The next prime is 75996967. The reversal of 75996960 is 6969957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75996967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118240 + ... + 118880.

It is an arithmetic number, because the mean of its divisors is an integer number (1415610).

Almost surely, 2^75996960 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 75996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135898560).

75996960 is an abundant number, since it is smaller than the sum of its proper divisors (195800160).

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

75996960 is a wasteful number, since it uses less digits than its factorization.

75996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 75996960 is about 8717.6235293800. The cubic root of 75996960 is about 423.5767105854.

The spelling of 75996960 in words is "seventy-five million, nine hundred ninety-six thousand, nine hundred sixty".