764173440 has 160 divisors (see below), whose sum is σ = 2729186460. Its totient is φ = 203765760.

The previous prime is 764173439. The next prime is 764173453. The reversal of 764173440 is 44371467.

It is a happy number.

764173440 is a `hidden beast` number, since 7 + 641 + 7 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 721244736 + 42928704 = 26856^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×764173440² = 1167922092802867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 764173395 and 764173404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44470 + ... + 59210.

Almost surely, 2^764173440 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 764173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364593230).

764173440 is an abundant number, since it is smaller than the sum of its proper divisors (1965013020).

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

764173440 is a wasteful number, since it uses less digits than its factorization.

764173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 764173440 is about 27643.6871636184. The cubic root of 764173440 is about 914.2479173363.

The spelling of 764173440 in words is "seven hundred sixty-four million, one hundred seventy-three thousand, four hundred forty".