764061120 has 224 divisors, whose sum is σ = 2715402240. Its totient is φ = 202245120.

The previous prime is 764061119. The next prime is 764061157. The reversal of 764061120 is 21160467.

764061120 is a `hidden beast` number, since 7 + 6 + 40 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1650009 + ... + 1650471.

Almost surely, 2^764061120 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 764061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357701120).

764061120 is an abundant number, since it is smaller than the sum of its proper divisors (1951341120).

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

764061120 is a wasteful number, since it uses less digits than its factorization.

764061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 764061120 is about 27641.6555220558. The cubic root of 764061120 is about 914.2031223756.

The spelling of 764061120 in words is "seven hundred sixty-four million, sixty-one thousand, one hundred twenty".