762480960 has 112 divisors (see below), whose sum is σ = 2499067392. Its totient is φ = 196761600.

The previous prime is 762480959. The next prime is 762480997. The reversal of 762480960 is 69084267.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16950 + ... + 42570.

Almost surely, 2^762480960 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 762480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249533696).

762480960 is an abundant number, since it is smaller than the sum of its proper divisors (1736586432).

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

762480960 is a wasteful number, since it uses less digits than its factorization.

762480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25672 (or 25662 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 762480960 is about 27613.0577806950. The cubic root of 762480960 is about 913.5724641873.

The spelling of 762480960 in words is "seven hundred sixty-two million, four hundred eighty thousand, nine hundred sixty".