677157120 has 216 divisors, whose sum is σ = 2399132736. Its totient is φ = 176246784.

The previous prime is 677157109. The next prime is 677157137. The reversal of 677157120 is 21751776.

677157120 is a `hidden beast` number, since 67 + 7 + 1 + 571 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494677 + ... + 496043.

It is an arithmetic number, because the mean of its divisors is an integer number (11107096).

Almost surely, 2^677157120 is an apocalyptic number.

677157120 is a gapful number since it is divisible by the number (60) 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 677157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199566368).

677157120 is an abundant number, since it is smaller than the sum of its proper divisors (1721975616).

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

677157120 is a wasteful number, since it uses less digits than its factorization.

677157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1420 counting only the distinct ones).

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

The square root of 677157120 is about 26022.2427934258. The cubic root of 677157120 is about 878.1387659177.

The spelling of 677157120 in words is "six hundred seventy-seven million, one hundred fifty-seven thousand, one hundred twenty".