157766400 has 432 divisors, whose sum is σ = 638709120. Its totient is φ = 37785600.

The previous prime is 157766393. The next prime is 157766423. The reversal of 157766400 is 4667751.

157766400 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 6 + 640 + 0 = 666.

157766400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900759 + ... + 1900841.

Almost surely, 2^157766400 is an apocalyptic number.

157766400 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 157766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

157766400 is an abundant number, since it is smaller than the sum of its proper divisors (480942720).

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

157766400 is a wasteful number, since it uses less digits than its factorization.

157766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 157766400 is about 12560.5095438043. The cubic root of 157766400 is about 540.3454579630.

The spelling of 157766400 in words is "one hundred fifty-seven million, seven hundred sixty-six thousand, four hundred".