157964800 has 240 divisors, whose sum is σ = 468844992. Its totient is φ = 51609600.

The previous prime is 157964789. The next prime is 157964801. The reversal of 157964800 is 8469751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (157964801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3673579 + ... + 3673621.

Almost surely, 2^157964800 is an apocalyptic number.

157964800 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 157964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234422496).

157964800 is an abundant number, since it is smaller than the sum of its proper divisors (310880192).

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

157964800 is an equidigital number, since it uses as much as digits as its factorization.

157964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 157964800 is about 12568.4048311629. The cubic root of 157964800 is about 540.5718678781.

The spelling of 157964800 in words is "one hundred fifty-seven million, nine hundred sixty-four thousand, eight hundred".