763812864 has 132 divisors (see below), whose sum is σ = 2240220424. Its totient is φ = 250601472.

The previous prime is 763812853. The next prime is 763812871. The reversal of 763812864 is 468218367.

763812864 is a `hidden beast` number, since 7 + 638 + 1 + 2 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616854 + ... + 618090.

Almost surely, 2^763812864 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 763812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120110212).

763812864 is an abundant number, since it is smaller than the sum of its proper divisors (1476407560).

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

763812864 is a wasteful number, since it uses less digits than its factorization.

763812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1309 counting only the distinct ones).

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

The square root of 763812864 is about 27637.1645434187. The cubic root of 763812864 is about 914.1040984496.

It can be divided in two parts, 7638 and 12864, that added together give a palindrome (20502).

The spelling of 763812864 in words is "seven hundred sixty-three million, eight hundred twelve thousand, eight hundred sixty-four".