764431140 has 192 divisors, whose sum is σ = 2418232320. Its totient is φ = 178844160.

The previous prime is 764431133. The next prime is 764431141. The reversal of 764431140 is 41134467.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 764431098 and 764431107.

It is not an unprimeable number, because it can be changed into a prime (764431141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608834 + ... + 2609126.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2^764431140 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 764431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209116160).

764431140 is an abundant number, since it is smaller than the sum of its proper divisors (1653801180).

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

764431140 is a wasteful number, since it uses less digits than its factorization.

764431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 764431140 is about 27648.3478710754. The cubic root of 764431140 is about 914.3506755136.

The spelling of 764431140 in words is "seven hundred sixty-four million, four hundred thirty-one thousand, one hundred forty".