157297680 has 80 divisors (see below), whose sum is σ = 541810560. Its totient is φ = 41945472.

The previous prime is 157297669. The next prime is 157297681. The reversal of 157297680 is 86792751.

157297680 is a `hidden beast` number, since 1 + 572 + 9 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (157297681) 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, 34252 + ... + 38571.

It is an arithmetic number, because the mean of its divisors is an integer number (6772632).

Almost surely, 2^157297680 is an apocalyptic number.

157297680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157297680 is an abundant number, since it is smaller than the sum of its proper divisors (384512880).

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

157297680 is a wasteful number, since it uses less digits than its factorization.

157297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72845 (or 72833 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 157297680 is about 12541.8371859947. The cubic root of 157297680 is about 539.8098095651.

It can be divided in two parts, 15729 and 7680, that added together give a square (23409 = 153²).

The spelling of 157297680 in words is "one hundred fifty-seven million, two hundred ninety-seven thousand, six hundred eighty".