75744480 has 96 divisors (see below), whose sum is σ = 272692224. Its totient is φ = 17312256.

The previous prime is 75744479. The next prime is 75744509. The reversal of 75744480 is 8444757.

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, 7912 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (2840544).

Almost surely, 2^75744480 is an apocalyptic number.

75744480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75744480 is an abundant number, since it is smaller than the sum of its proper divisors (196947744).

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

75744480 is a wasteful number, since it uses less digits than its factorization.

75744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22568 (or 22560 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 75744480 is about 8703.1304712730. The cubic root of 75744480 is about 423.1071159296.

The spelling of 75744480 in words is "seventy-five million, seven hundred forty-four thousand, four hundred eighty".