677218080 has 384 divisors, whose sum is σ = 2706794496. Its totient is φ = 138240000.

The previous prime is 677218079. The next prime is 677218081. The reversal of 677218080 is 80812776.

It is an interprime number because it is at equal distance from previous prime (677218079) and next prime (677218081).

It is not an unprimeable number, because it can be changed into a prime (677218081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2697955 + ... + 2698205.

It is an arithmetic number, because the mean of its divisors is an integer number (7048944).

Almost surely, 2^677218080 is an apocalyptic number.

677218080 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 677218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353397248).

677218080 is an abundant number, since it is smaller than the sum of its proper divisors (2029576416).

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

677218080 is a wasteful number, since it uses less digits than its factorization.

677218080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 677218080 is about 26023.4140727154. The cubic root of 677218080 is about 878.1651161454.

The spelling of 677218080 in words is "six hundred seventy-seven million, two hundred eighteen thousand, eighty".