760856880 has 160 divisors (see below), whose sum is σ = 2722397184. Its totient is φ = 172182528.

The previous prime is 760856867. The next prime is 760856903. The reversal of 760856880 is 88658067.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 170842 + ... + 175238.

Almost surely, 2^760856880 is an apocalyptic number.

760856880 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 760856880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361198592).

760856880 is an abundant number, since it is smaller than the sum of its proper divisors (1961540304).

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

760856880 is a wasteful number, since it uses less digits than its factorization.

760856880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 760856880 is about 27583.6342783180. The cubic root of 760856880 is about 912.9233684378.

The spelling of 760856880 in words is "seven hundred sixty million, eight hundred fifty-six thousand, eight hundred eighty".