764501920 has 216 divisors, whose sum is σ = 2279006604. Its totient is φ = 241532928.

The previous prime is 764501863. The next prime is 764501929. The reversal of 764501920 is 29105467.

764501920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 298460176 + 466041744 = 17276^2 + 21588^2 .

It is not an unprimeable number, because it can be changed into a prime (764501929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324672 + ... + 1325248.

Almost surely, 2^764501920 is an apocalyptic number.

764501920 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 764501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139503302).

764501920 is an abundant number, since it is smaller than the sum of its proper divisors (1514504684).

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

764501920 is a wasteful number, since it uses less digits than its factorization.

764501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 764501920 is about 27649.6278455968. The cubic root of 764501920 is about 914.3788950789.

The spelling of 764501920 in words is "seven hundred sixty-four million, five hundred one thousand, nine hundred twenty".