768213504 has 160 divisors (see below), whose sum is σ = 2313780480. Its totient is φ = 251596800.

The previous prime is 768213503. The next prime is 768213541. The reversal of 768213504 is 405312867.

768213504 is a `hidden beast` number, since 76 + 82 + 1 + 3 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (768213503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842809 + ... + 843719.

It is an arithmetic number, because the mean of its divisors is an integer number (14461128).

Almost surely, 2^768213504 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 768213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156890240).

768213504 is an abundant number, since it is smaller than the sum of its proper divisors (1545566976).

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

768213504 is an equidigital number, since it uses as much as digits as its factorization.

768213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 768213504 is about 27716.6647344156. The cubic root of 768213504 is about 915.8562476626.

The spelling of 768213504 in words is "seven hundred sixty-eight million, two hundred thirteen thousand, five hundred four".