677107680 has 96 divisors (see below), whose sum is σ = 2138724000. Its totient is φ = 180068352.

The previous prime is 677107667. The next prime is 677107721. The reversal of 677107680 is 86701776.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194596 + ... + 198044.

It is an arithmetic number, because the mean of its divisors is an integer number (22278375).

Almost surely, 2^677107680 is an apocalyptic number.

677107680 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 677107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069362000).

677107680 is an abundant number, since it is smaller than the sum of its proper divisors (1461616320).

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

677107680 is a wasteful number, since it uses less digits than its factorization.

677107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 677107680 is about 26021.2928195353. The cubic root of 677107680 is about 878.1173940992.

The spelling of 677107680 in words is "six hundred seventy-seven million, one hundred seven thousand, six hundred eighty".