677957280 has 768 divisors, whose sum is σ = 3072577536. Its totient is φ = 120913920.

The previous prime is 677957257. The next prime is 677957299. The reversal of 677957280 is 82759776.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8168119 + ... + 8168201.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2^677957280 is an apocalyptic number.

677957280 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 677957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536288768).

677957280 is an abundant number, since it is smaller than the sum of its proper divisors (2394620256).

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

677957280 is a wasteful number, since it uses less digits than its factorization.

677957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 677957280 is about 26037.6127938027. The cubic root of 677957280 is about 878.4845128224.

The spelling of 677957280 in words is "six hundred seventy-seven million, nine hundred fifty-seven thousand, two hundred eighty".