677313792 has 288 divisors, whose sum is σ = 2158464000. Its totient is φ = 209018880.

The previous prime is 677313773. The next prime is 677313799. The reversal of 677313792 is 297313776.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677313799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6213834 + ... + 6213942.

Almost surely, 2^677313792 is an apocalyptic number.

677313792 is a gapful number since it is divisible by the number (62) 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 677313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079232000).

677313792 is an abundant number, since it is smaller than the sum of its proper divisors (1481150208).

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

677313792 is a wasteful number, since it uses less digits than its factorization.

677313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 677313792 is about 26025.2529670703. The cubic root of 677313792 is about 878.2064848875.

The spelling of 677313792 in words is "six hundred seventy-seven million, three hundred thirteen thousand, seven hundred ninety-two".