677575080 has 576 divisors, whose sum is σ = 2863935360. Its totient is φ = 135862272.

The previous prime is 677575051. The next prime is 677575109. The reversal of 677575080 is 80575776.

677575080 is a `hidden beast` number, since 6 + 77 + 575 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (677575051) and next prime (677575109).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15757539 + ... + 15757581.

It is an arithmetic number, because the mean of its divisors is an integer number (4972110).

Almost surely, 2^677575080 is an apocalyptic number.

677575080 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 677575080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431967680).

677575080 is an abundant number, since it is smaller than the sum of its proper divisors (2186360280).

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

677575080 is a wasteful number, since it uses less digits than its factorization.

677575080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 677575080 is about 26030.2723766003. The cubic root of 677575080 is about 878.3193992255.

The spelling of 677575080 in words is "six hundred seventy-seven million, five hundred seventy-five thousand, eighty".