760628880 has 240 divisors, whose sum is σ = 2890689984. Its totient is φ = 184343040.

The previous prime is 760628863. The next prime is 760628933. The reversal of 760628880 is 88826067.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212062 + ... + 215618.

Almost surely, 2^760628880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445344992).

760628880 is an abundant number, since it is smaller than the sum of its proper divisors (2130061104).

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

760628880 is a wasteful number, since it uses less digits than its factorization.

760628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 760628880 is about 27579.5010832321. The cubic root of 760628880 is about 912.8321698045.

The spelling of 760628880 in words is "seven hundred sixty million, six hundred twenty-eight thousand, eight hundred eighty".