75640488 has 144 divisors (see below), whose sum is σ = 241506720. Its totient is φ = 19324800.

The previous prime is 75640471. The next prime is 75640493. The reversal of 75640488 is 88404657.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1239978 + ... + 1240038.

It is an arithmetic number, because the mean of its divisors is an integer number (1677130).

Almost surely, 2^75640488 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 75640488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120753360).

75640488 is an abundant number, since it is smaller than the sum of its proper divisors (165866232).

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

75640488 is a wasteful number, since it uses less digits than its factorization.

75640488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 75640488 is about 8697.1540172633. The cubic root of 75640488 is about 422.9133948523.

Multiplying 75640488 by its sum of digits (42), we get a square (3176900496 = 56364²).

75640488 divided by its sum of digits (42) gives a square (1800964 = 1342²).

The spelling of 75640488 in words is "seventy-five million, six hundred forty thousand, four hundred eighty-eight".