157785408 has 140 divisors (see below), whose sum is σ = 510430272. Its totient is φ = 47796480.

The previous prime is 157785389. The next prime is 157785421. The reversal of 157785408 is 804587751.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 55641 + ... + 58407.

Almost surely, 2^157785408 is an apocalyptic number.

157785408 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 157785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255215136).

157785408 is an abundant number, since it is smaller than the sum of its proper divisors (352644864).

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

157785408 is a wasteful number, since it uses less digits than its factorization.

157785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 157785408 is about 12561.2661782163. The cubic root of 157785408 is about 540.3671577123.

The spelling of 157785408 in words is "one hundred fifty-seven million, seven hundred eighty-five thousand, four hundred eight".