764300416 has 128 divisors (see below), whose sum is σ = 1808386560. Its totient is φ = 317767680.

The previous prime is 764300413. The next prime is 764300429. The reversal of 764300416 is 614003467.

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

It is not an unprimeable number, because it can be changed into a prime (764300413) 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, 885201 + ... + 886063.

It is an arithmetic number, because the mean of its divisors is an integer number (14128020).

Almost surely, 2^764300416 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 764300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904193280).

764300416 is an abundant number, since it is smaller than the sum of its proper divisors (1044086144).

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

764300416 is a wasteful number, since it uses less digits than its factorization.

764300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 764300416 is about 27645.9837227761. The cubic root of 764300416 is about 914.2985520519.

The spelling of 764300416 in words is "seven hundred sixty-four million, three hundred thousand, four hundred sixteen".