762474960 has 360 divisors, whose sum is σ = 2907548280. Its totient is φ = 177795072.

The previous prime is 762474949. The next prime is 762474961. The reversal of 762474960 is 69474267.

762474960 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 12 ways, for example, as 125619264 + 636855696 = 11208^2 + 25236^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (762474961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14386294 + ... + 14386346.

It is an arithmetic number, because the mean of its divisors is an integer number (8076523).

Almost surely, 2^762474960 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 762474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453774140).

762474960 is an abundant number, since it is smaller than the sum of its proper divisors (2145073320).

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

762474960 is a wasteful number, since it uses less digits than its factorization.

762474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 762474960 is about 27612.9491362295. The cubic root of 762474960 is about 913.5700678655.

The spelling of 762474960 in words is "seven hundred sixty-two million, four hundred seventy-four thousand, nine hundred sixty".