762240960 has 168 divisors, whose sum is σ = 2823606240. Its totient is φ = 187619328.

The previous prime is 762240931. The next prime is 762240979. The reversal of 762240960 is 69042267.

It is a happy number.

It is a super-2 number, since 2×762240960² = 1162022562203443200, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27261 + ... + 47619.

It is an arithmetic number, because the mean of its divisors is an integer number (16807180).

Almost surely, 2^762240960 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 762240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411803120).

762240960 is an abundant number, since it is smaller than the sum of its proper divisors (2061365280).

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

762240960 is a wasteful number, since it uses less digits than its factorization.

762240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20395 (or 20382 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 762240960 is about 27608.7116686020. The cubic root of 762240960 is about 913.4766015093.

The spelling of 762240960 in words is "seven hundred sixty-two million, two hundred forty thousand, nine hundred sixty".