157779456 has 80 divisors (see below), whose sum is σ = 423931200. Its totient is φ = 52144128.

The previous prime is 157779451. The next prime is 157779469. The reversal of 157779456 is 654977751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157779399 and 157779408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157779451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213135 + ... + 213873.

It is an arithmetic number, because the mean of its divisors is an integer number (5299140).

Almost surely, 2^157779456 is an apocalyptic number.

157779456 is a gapful number since it is divisible by the number (16) 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 157779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211965600).

157779456 is an abundant number, since it is smaller than the sum of its proper divisors (266151744).

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

157779456 is an equidigital number, since it uses as much as digits as its factorization.

157779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 883 counting only the distinct ones).

The product of its digits is 1852200, while the sum is 51.

The square root of 157779456 is about 12561.0292571907. The cubic root of 157779456 is about 540.3603630288.

The spelling of 157779456 in words is "one hundred fifty-seven million, seven hundred seventy-nine thousand, four hundred fifty-six".