157120776 has 64 divisors (see below), whose sum is σ = 443880000. Its totient is φ = 51481728.

The previous prime is 157120739. The next prime is 157120801. The reversal of 157120776 is 677021751.

157120776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×157120776⁵ (a number of 42 digits) contains 55555 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 157120776.

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 15 ways as a sum of consecutive naturals, for example, 6580 + ... + 18908.

It is an arithmetic number, because the mean of its divisors is an integer number (6935625).

Almost surely, 2^157120776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157120776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221940000).

157120776 is an abundant number, since it is smaller than the sum of its proper divisors (286759224).

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

157120776 is a wasteful number, since it uses less digits than its factorization.

157120776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12403 (or 12393 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 157120776 is about 12534.7826466995. The cubic root of 157120776 is about 539.6073689102.

The spelling of 157120776 in words is "one hundred fifty-seven million, one hundred twenty thousand, seven hundred seventy-six".