764672040 has 192 divisors, whose sum is σ = 2799014400. Its totient is φ = 179366400.

The previous prime is 764672039. The next prime is 764672057. The reversal of 764672040 is 40276467.

764672040 is a `hidden beast` number, since 7 + 646 + 7 + 2 + 0 + 4 + 0 = 666.

764672040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 764671986 and 764672004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119646 + ... + 125874.

It is an arithmetic number, because the mean of its divisors is an integer number (14578200).

Almost surely, 2^764672040 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 764672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399507200).

764672040 is an abundant number, since it is smaller than the sum of its proper divisors (2034342360).

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

764672040 is a wasteful number, since it uses less digits than its factorization.

764672040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 764672040 is about 27652.7040269121. The cubic root of 764672040 is about 914.4467137884.

The spelling of 764672040 in words is "seven hundred sixty-four million, six hundred seventy-two thousand, forty".