764094240 has 720 divisors, whose sum is σ = 3468556728. Its totient is φ = 151732224.

The previous prime is 764094239. The next prime is 764094283. The reversal of 764094240 is 42490467.

764094240 is a `hidden beast` number, since 7 + 6 + 409 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 581195664 + 182898576 = 24108^2 + 13524^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 764094195 and 764094204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44946712 + ... + 44946728.

Almost surely, 2^764094240 is an apocalyptic number.

764094240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734278364).

764094240 is an abundant number, since it is smaller than the sum of its proper divisors (2704462488).

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

764094240 is a wasteful number, since it uses less digits than its factorization.

764094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 764094240 is about 27642.2546113735. The cubic root of 764094240 is about 914.2163316024.

The spelling of 764094240 in words is "seven hundred sixty-four million, ninety-four thousand, two hundred forty".