157677408 has 288 divisors, whose sum is σ = 561899520. Its totient is φ = 42094080.

The previous prime is 157677347. The next prime is 157677449. The reversal of 157677408 is 804776751.

157677408 is a `hidden beast` number, since 1 + 576 + 7 + 74 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5086353 + ... + 5086383.

It is an arithmetic number, because the mean of its divisors is an integer number (1951040).

Almost surely, 2^157677408 is an apocalyptic number.

157677408 is a gapful number since it is divisible by the number (18) 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 157677408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280949760).

157677408 is an abundant number, since it is smaller than the sum of its proper divisors (404222112).

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

157677408 is a wasteful number, since it uses less digits than its factorization.

157677408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 157677408 is about 12556.9665126574. The cubic root of 157677408 is about 540.2438404930.

The spelling of 157677408 in words is "one hundred fifty-seven million, six hundred seventy-seven thousand, four hundred eight".