157978080 has 384 divisors, whose sum is σ = 622339200. Its totient is φ = 37158912.

The previous prime is 157978063. The next prime is 157978081. The reversal of 157978080 is 80879751.

157978080 is a `hidden beast` number, since 1 + 579 + 78 + 0 + 8 + 0 = 666.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157978081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1628592 + ... + 1628688.

It is an arithmetic number, because the mean of its divisors is an integer number (1620675).

Almost surely, 2^157978080 is an apocalyptic number.

157978080 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 157978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311169600).

157978080 is an abundant number, since it is smaller than the sum of its proper divisors (464361120).

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

157978080 is a wasteful number, since it uses less digits than its factorization.

157978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 157978080 is about 12568.9331289493. The cubic root of 157978080 is about 540.5870159643.

The spelling of 157978080 in words is "one hundred fifty-seven million, nine hundred seventy-eight thousand, eighty".