762668820 has 108 divisors (see below), whose sum is σ = 2391004980. Its totient is φ = 196773120.

The previous prime is 762668813. The next prime is 762668849. The reversal of 762668820 is 28866267.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 611968644 = 12276^2 + 24738^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170776 + ... + 175184.

It is an arithmetic number, because the mean of its divisors is an integer number (22138935).

Almost surely, 2^762668820 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 762668820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195502490).

762668820 is an abundant number, since it is smaller than the sum of its proper divisors (1628336160).

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

762668820 is a wasteful number, since it uses less digits than its factorization.

762668820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 762668820 is about 27616.4592227172. The cubic root of 762668820 is about 913.6474866640.

The spelling of 762668820 in words is "seven hundred sixty-two million, six hundred sixty-eight thousand, eight hundred twenty".