764112096 has 144 divisors (see below), whose sum is σ = 2450019600. Its totient is φ = 231517440.

The previous prime is 764112079. The next prime is 764112101. The reversal of 764112096 is 690211467.

764112096 is a `hidden beast` number, since 7 + 641 + 1 + 2 + 0 + 9 + 6 = 666.

764112096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 764112096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100890 + ... + 108198.

It is an arithmetic number, because the mean of its divisors is an integer number (17014025).

Almost surely, 2^764112096 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 764112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225009800).

764112096 is an abundant number, since it is smaller than the sum of its proper divisors (1685907504).

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

764112096 is a wasteful number, since it uses less digits than its factorization.

764112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 764112096 is about 27642.5775932709. The cubic root of 764112096 is about 914.2234529403.

The spelling of 764112096 in words is "seven hundred sixty-four million, one hundred twelve thousand, ninety-six".