157082760 has 128 divisors (see below), whose sum is σ = 537897600. Its totient is φ = 40746240.

The previous prime is 157082759. The next prime is 157082791. The reversal of 157082760 is 67280751.

157082760 is a `hidden beast` number, since 1 + 570 + 8 + 27 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37995 + ... + 41925.

It is an arithmetic number, because the mean of its divisors is an integer number (4202325).

Almost surely, 2^157082760 is an apocalyptic number.

157082760 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 157082760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268948800).

157082760 is an abundant number, since it is smaller than the sum of its proper divisors (380814840).

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

157082760 is a wasteful number, since it uses less digits than its factorization.

157082760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 157082760 is about 12533.2661345716. The cubic root of 157082760 is about 539.5638453463.

The spelling of 157082760 in words is "one hundred fifty-seven million, eighty-two thousand, seven hundred sixty".