766334520 has 288 divisors, whose sum is σ = 3006385200. Its totient is φ = 175053312.

The previous prime is 766334501. The next prime is 766334537. The reversal of 766334520 is 25433667.

766334520 is a `hidden beast` number, since 76 + 63 + 3 + 4 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475476 + ... + 477084.

Almost surely, 2^766334520 is an apocalyptic number.

766334520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503192600).

766334520 is an abundant number, since it is smaller than the sum of its proper divisors (2240050680).

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

766334520 is a wasteful number, since it uses less digits than its factorization.

766334520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 766334520 is about 27682.7476959929. The cubic root of 766334520 is about 915.1089362372.

The spelling of 766334520 in words is "seven hundred sixty-six million, three hundred thirty-four thousand, five hundred twenty".