677255040 has 512 divisors, whose sum is σ = 2996352000. Its totient is φ = 140451840.

The previous prime is 677255039. The next prime is 677255053. The reversal of 677255040 is 40552776.

677255040 is a `hidden beast` number, since 67 + 7 + 2 + 550 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 677254986 and 677255004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330306 + ... + 1330814.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2^677255040 is an apocalyptic number.

677255040 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 677255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

677255040 is an abundant number, since it is smaller than the sum of its proper divisors (2319096960).

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

677255040 is a wasteful number, since it uses less digits than its factorization.

677255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 677255040 is about 26024.1241927562. The cubic root of 677255040 is about 878.1810914977.

The spelling of 677255040 in words is "six hundred seventy-seven million, two hundred fifty-five thousand, forty".