157677840 has 120 divisors (see below), whose sum is σ = 549214848. Its totient is φ = 42042240.

The previous prime is 157677803. The next prime is 157677853. The reversal of 157677840 is 48776751.

157677840 is a `hidden beast` number, since 1 + 576 + 7 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 15385 + ... + 23495.

Almost surely, 2^157677840 is an apocalyptic number.

157677840 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 157677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274607424).

157677840 is an abundant number, since it is smaller than the sum of its proper divisors (391537008).

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

157677840 is an equidigital number, since it uses as much as digits as its factorization.

157677840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8121 counting only the distinct ones).

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

The square root of 157677840 is about 12556.9837142524. The cubic root of 157677840 is about 540.2443338740.

The spelling of 157677840 in words is "one hundred fifty-seven million, six hundred seventy-seven thousand, eight hundred forty".