763739328 has 112 divisors (see below), whose sum is σ = 2246351616. Its totient is φ = 227036160.

The previous prime is 763739309. The next prime is 763739329. The reversal of 763739328 is 823937367.

It is a happy number.

It is a super-2 number, since 2×763739328² = 1166595522267783168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (763739329) 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, 108525 + ... + 115347.

Almost surely, 2^763739328 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 763739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123175808).

763739328 is an abundant number, since it is smaller than the sum of its proper divisors (1482612288).

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

763739328 is a wasteful number, since it uses less digits than its factorization.

763739328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6892 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 763739328 is about 27635.8341288987. The cubic root of 763739328 is about 914.0747624174.

The spelling of 763739328 in words is "seven hundred sixty-three million, seven hundred thirty-nine thousand, three hundred twenty-eight".