763564672 has 128 divisors (see below), whose sum is σ = 1739646720. Its totient is φ = 331161600.

The previous prime is 763564663. The next prime is 763564687. The reversal of 763564672 is 276465367.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717172 + ... + 2717452.

It is an arithmetic number, because the mean of its divisors is an integer number (13590990).

Almost surely, 2^763564672 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 763564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869823360).

763564672 is an abundant number, since it is smaller than the sum of its proper divisors (976082048).

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

763564672 is a wasteful number, since it uses less digits than its factorization.

763564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 46.

The square root of 763564672 is about 27632.6739929381. The cubic root of 763564672 is about 914.0050786012.

The spelling of 763564672 in words is "seven hundred sixty-three million, five hundred sixty-four thousand, six hundred seventy-two".