762225480 has 48 divisors (see below), whose sum is σ = 2477233980. Its totient is φ = 203260032.

The previous prime is 762225479. The next prime is 762225491. The reversal of 762225480 is 84522267.

762225480 is a `hidden beast` number, since 7 + 622 + 25 + 4 + 8 + 0 = 666.

762225480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 708730884 + 53494596 = 26622^2 + 7314^2 .

It is a super-2 number, since 2×762225480² = 1161975364722460800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1058287 + ... + 1059006.

Almost surely, 2^762225480 is an apocalyptic number.

It is an amenable number.

762225480 is an abundant number, since it is smaller than the sum of its proper divisors (1715008500).

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

762225480 is a wasteful number, since it uses less digits than its factorization.

762225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117310 (or 2117303 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 762225480 is about 27608.4313208846. The cubic root of 762225480 is about 913.4704176759.

The spelling of 762225480 in words is "seven hundred sixty-two million, two hundred twenty-five thousand, four hundred eighty".