672122880 has 768 divisors, whose sum is σ = 2971987200. Its totient is φ = 141557760.

The previous prime is 672122861. The next prime is 672122921. The reversal of 672122880 is 88221276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 39536632 + ... + 39536648.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^672122880 is an apocalyptic number.

672122880 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 672122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

672122880 is an abundant number, since it is smaller than the sum of its proper divisors (2299864320).

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

672122880 is a wasteful number, since it uses less digits than its factorization.

672122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 672122880 is about 25925.3327847494. The cubic root of 672122880 is about 875.9572131476.

The spelling of 672122880 in words is "six hundred seventy-two million, one hundred twenty-two thousand, eight hundred eighty".