75993264 has 120 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 23169024.

The previous prime is 75993263. The next prime is 75993277. The reversal of 75993264 is 46239957.

75993264 = T₁₈₁ + T₁₈₂ + ... + T₇₇₂.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75993263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90157 + ... + 90995.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^75993264 is an apocalyptic number.

75993264 is a gapful number since it is divisible by the number (74) 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 75993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

75993264 is an abundant number, since it is smaller than the sum of its proper divisors (155554416).

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

75993264 is a wasteful number, since it uses less digits than its factorization.

75993264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 75993264 is about 8717.4115424247. The cubic root of 75993264 is about 423.5698437980.

The spelling of 75993264 in words is "seventy-five million, nine hundred ninety-three thousand, two hundred sixty-four".