677892048 has 80 divisors (see below), whose sum is σ = 1807384320. Its totient is φ = 218829312.

The previous prime is 677891941. The next prime is 677892049. The reversal of 677892048 is 840298776.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677892049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199290 + ... + 202662.

It is an arithmetic number, because the mean of its divisors is an integer number (22592304).

Almost surely, 2^677892048 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 677892048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903692160).

677892048 is an abundant number, since it is smaller than the sum of its proper divisors (1129492272).

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

677892048 is a wasteful number, since it uses less digits than its factorization.

677892048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 677892048 is about 26036.3601142710. The cubic root of 677892048 is about 878.4563364454.

The spelling of 677892048 in words is "six hundred seventy-seven million, eight hundred ninety-two thousand, forty-eight".