764414200 has 96 divisors (see below), whose sum is σ = 2023263360. Its totient is φ = 265865600.

The previous prime is 764414179. The next prime is 764414201. The reversal of 764414200 is 2414467.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764414201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43047 + ... + 58153.

It is an arithmetic number, because the mean of its divisors is an integer number (21075660).

Almost surely, 2^764414200 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 764414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011631680).

764414200 is an abundant number, since it is smaller than the sum of its proper divisors (1258849160).

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

764414200 is a wasteful number, since it uses less digits than its factorization.

764414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15157 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 764414200 is about 27648.0415219596. The cubic root of 764414200 is about 914.3439213779.

Adding to 764414200 its reverse (2414467), we get a palindrome (766828667).

The spelling of 764414200 in words is "seven hundred sixty-four million, four hundred fourteen thousand, two hundred".