670577760 has 72 divisors (see below), whose sum is σ = 2288351520. Its totient is φ = 178820352.

The previous prime is 670577737. The next prime is 670577777. The reversal of 670577760 is 67775076.

It is a happy number.

670577760 is a `hidden beast` number, since 6 + 7 + 0 + 577 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231400 + ... + 234279.

It is an arithmetic number, because the mean of its divisors is an integer number (31782660).

Almost surely, 2^670577760 is an apocalyptic number.

670577760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

670577760 is an abundant number, since it is smaller than the sum of its proper divisors (1617773760).

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

670577760 is a wasteful number, since it uses less digits than its factorization.

670577760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465700 (or 465689 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 670577760 is about 25895.5162142020. The cubic root of 670577760 is about 875.2854622341.

The spelling of 670577760 in words is "six hundred seventy million, five hundred seventy-seven thousand, seven hundred sixty".