75460896 has 120 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 21555072.

The previous prime is 75460883. The next prime is 75460919. The reversal of 75460896 is 69806457.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16065 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (2114112).

Almost surely, 2^75460896 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 75460896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

75460896 is an abundant number, since it is smaller than the sum of its proper divisors (178232544).

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

75460896 is a wasteful number, since it uses less digits than its factorization.

75460896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75460896 is about 8686.8231247102. The cubic root of 75460896 is about 422.5784241055.

The spelling of 75460896 in words is "seventy-five million, four hundred sixty thousand, eight hundred ninety-six".