763828320 has 96 divisors (see below), whose sum is σ = 2414990592. Its totient is φ = 202931712.

The previous prime is 763828283. The next prime is 763828363. The reversal of 763828320 is 23828367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 133029 + ... + 138651.

It is an arithmetic number, because the mean of its divisors is an integer number (25156152).

Almost surely, 2^763828320 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 763828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207495296).

763828320 is an abundant number, since it is smaller than the sum of its proper divisors (1651162272).

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

763828320 is a wasteful number, since it uses less digits than its factorization.

763828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 763828320 is about 27637.4441654796. Note that the first 3 decimals coincide. The cubic root of 763828320 is about 914.1102641386.

The spelling of 763828320 in words is "seven hundred sixty-three million, eight hundred twenty-eight thousand, three hundred twenty".