157322880 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 35020800.

The previous prime is 157322857. The next prime is 157322887. The reversal of 157322880 is 88223751.

157322880 is a `hidden beast` number, since 1 + 573 + 2 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157322887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823585 + ... + 823775.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^157322880 is an apocalyptic number.

157322880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

157322880 is an abundant number, since it is smaller than the sum of its proper divisors (484248960).

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

157322880 is a wasteful number, since it uses less digits than its factorization.

157322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157322880 is about 12542.8417832643. The cubic root of 157322880 is about 539.8386349126.

The spelling of 157322880 in words is "one hundred fifty-seven million, three hundred twenty-two thousand, eight hundred eighty".