157977600 has 396 divisors, whose sum is σ = 607664232. Its totient is φ = 36044800.

The previous prime is 157977569. The next prime is 157977607. The reversal of 157977600 is 6779751.

It is not an unprimeable number, because it can be changed into a prime (157977607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9292792 + ... + 9292808.

Almost surely, 2^157977600 is an apocalyptic number.

157977600 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 157977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303832116).

157977600 is an abundant number, since it is smaller than the sum of its proper divisors (449686632).

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

157977600 is a wasteful number, since it uses less digits than its factorization.

157977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 157977600 is about 12568.9140342354. The cubic root of 157977600 is about 540.5864684579.

The spelling of 157977600 in words is "one hundred fifty-seven million, nine hundred seventy-seven thousand, six hundred".