764835840 has 288 divisors, whose sum is σ = 2726483760. Its totient is φ = 198180864.

The previous prime is 764835839. The next prime is 764835847. The reversal of 764835840 is 48538467.

764835840 is a `hidden beast` number, since 7 + 64 + 8 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764835847) 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, 3962784 + ... + 3962976.

Almost surely, 2^764835840 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 764835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363241880).

764835840 is an abundant number, since it is smaller than the sum of its proper divisors (1961647920).

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

764835840 is a wasteful number, since it uses less digits than its factorization.

764835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 764835840 is about 27655.6656039951. The cubic root of 764835840 is about 914.5120035117.

The spelling of 764835840 in words is "seven hundred sixty-four million, eight hundred thirty-five thousand, eight hundred forty".