677082240 has 320 divisors, whose sum is σ = 2490368760. Its totient is φ = 175177728.

The previous prime is 677082221. The next prime is 677082293. The reversal of 677082240 is 42280776.

It can be written as a sum of positive squares in 4 ways, for example, as 624200256 + 52881984 = 24984^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 = 677082195 and 677082204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1917904 + ... + 1918256.

Almost surely, 2^677082240 is an apocalyptic number.

677082240 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 677082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245184380).

677082240 is an abundant number, since it is smaller than the sum of its proper divisors (1813286520).

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

677082240 is a wasteful number, since it uses less digits than its factorization.

677082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 677082240 is about 26020.8039845044. The cubic root of 677082240 is about 878.1063965445.

The spelling of 677082240 in words is "six hundred seventy-seven million, eighty-two thousand, two hundred forty".