75999264 has 96 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 22713600.

The previous prime is 75999263. The next prime is 75999277. The reversal of 75999264 is 46299957.

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

It is not an unprimeable number, because it can be changed into a prime (75999263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82969 + ... + 83879.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^75999264 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 75999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

75999264 is an abundant number, since it is smaller than the sum of its proper divisors (144631776).

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

75999264 is a wasteful number, since it uses less digits than its factorization.

75999264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 75999264 is about 8717.7556744841. The cubic root of 75999264 is about 423.5809910675.

The spelling of 75999264 in words is "seventy-five million, nine hundred ninety-nine thousand, two hundred sixty-four".