760226880 has 448 divisors, whose sum is σ = 2949488640. Its totient is φ = 162226176.

The previous prime is 760226869. The next prime is 760226903. The reversal of 760226880 is 88622067.

It is a tau number, because it is divible by the number of its divisors (448).

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, 9159319 + ... + 9159401.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^760226880 is an apocalyptic number.

760226880 is a gapful number since it is divisible by the number (70) 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 760226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

760226880 is an abundant number, since it is smaller than the sum of its proper divisors (2189261760).

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

760226880 is a wasteful number, since it uses less digits than its factorization.

760226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 760226880 is about 27572.2120984153. The cubic root of 760226880 is about 912.6713278101.

The spelling of 760226880 in words is "seven hundred sixty million, two hundred twenty-six thousand, eight hundred eighty".