75657660 has 48 divisors (see below), whose sum is σ = 228139296. Its totient is φ = 18623232.

The previous prime is 75657643. The next prime is 75657661. The reversal of 75657660 is 6675657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75657661) 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, 47719 + ... + 49278.

It is an arithmetic number, because the mean of its divisors is an integer number (4752902).

Almost surely, 2^75657660 is an apocalyptic number.

It is an amenable number.

75657660 is an abundant number, since it is smaller than the sum of its proper divisors (152481636).

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

75657660 is a wasteful number, since it uses less digits than its factorization.

75657660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97022 (or 97020 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 75657660 is about 8698.1411807351. The cubic root of 75657660 is about 422.9453958768.

Subtracting from 75657660 its product of nonzero digits (264600), we obtain a triangular number (75393060 = T₁₂₂₇₉).

It can be divided in two parts, 7565 and 7660, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 75657660 in words is "seventy-five million, six hundred fifty-seven thousand, six hundred sixty".