677048320 has 104 divisors (see below), whose sum is σ = 1750383936. Its totient is φ = 249888768.

The previous prime is 677048269. The next prime is 677048329. The reversal of 677048320 is 23840776.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×677048320² = 916788855229644800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 677048320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677048329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264969 + ... + 267511.

Almost surely, 2^677048320 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 677048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875191968).

677048320 is an abundant number, since it is smaller than the sum of its proper divisors (1073335616).

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

677048320 is a wasteful number, since it uses less digits than its factorization.

677048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 677048320 is about 26020.1521901775. The cubic root of 677048320 is about 878.0917327096.

The spelling of 677048320 in words is "six hundred seventy-seven million, forty-eight thousand, three hundred twenty".