766379520 has 480 divisors, whose sum is σ = 2910885120. Its totient is φ = 185794560.

The previous prime is 766379513. The next prime is 766379597. The reversal of 766379520 is 25973667.

766379520 is a `hidden beast` number, since 7 + 6 + 637 + 9 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20712942 + ... + 20712978.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2^766379520 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 766379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

766379520 is an abundant number, since it is smaller than the sum of its proper divisors (2144505600).

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

766379520 is a wasteful number, since it uses less digits than its factorization.

766379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 766379520 is about 27683.5604646512. The cubic root of 766379520 is about 915.1268479520.

The spelling of 766379520 in words is "seven hundred sixty-six million, three hundred seventy-nine thousand, five hundred twenty".