766356480 has 132 divisors (see below), whose sum is σ = 2655564912. Its totient is φ = 204349440.

The previous prime is 766356467. The next prime is 766356497. The reversal of 766356480 is 84653667.

766356480 is a `hidden beast` number, since 7 + 6 + 6 + 3 + 564 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37765 + ... + 54395.

It is an arithmetic number, because the mean of its divisors is an integer number (20117916).

Almost surely, 2^766356480 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 766356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327782456).

766356480 is an abundant number, since it is smaller than the sum of its proper divisors (1889208432).

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

766356480 is a wasteful number, since it uses less digits than its factorization.

766356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16662 (or 16641 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 766356480 is about 27683.1443300793. The cubic root of 766356480 is about 915.1176772416.

The spelling of 766356480 in words is "seven hundred sixty-six million, three hundred fifty-six thousand, four hundred eighty".