677411280 has 480 divisors, whose sum is σ = 2870649600. Its totient is φ = 142248960.

The previous prime is 677411263. The next prime is 677411299. The reversal of 677411280 is 82114776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210375 + ... + 3210585.

It is an arithmetic number, because the mean of its divisors is an integer number (5980520).

Almost surely, 2^677411280 is an apocalyptic number.

677411280 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 677411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435324800).

677411280 is an abundant number, since it is smaller than the sum of its proper divisors (2193238320).

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

677411280 is a wasteful number, since it uses less digits than its factorization.

677411280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 677411280 is about 26027.1258497745. The cubic root of 677411280 is about 878.2486172479.

The spelling of 677411280 in words is "six hundred seventy-seven million, four hundred eleven thousand, two hundred eighty".