764069040 has 480 divisors, whose sum is σ = 3156940800. Its totient is φ = 161740800.

The previous prime is 764069023. The next prime is 764069081. The reversal of 764069040 is 40960467.

764069040 is a `hidden beast` number, since 7 + 640 + 6 + 9 + 0 + 4 + 0 = 666.

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 = 764068986 and 764069004.

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 95 ways as a sum of consecutive naturals, for example, 7564990 + ... + 7565090.

It is an arithmetic number, because the mean of its divisors is an integer number (6576960).

Almost surely, 2^764069040 is an apocalyptic number.

764069040 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 764069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578470400).

764069040 is an abundant number, since it is smaller than the sum of its proper divisors (2392871760).

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

764069040 is a wasteful number, since it uses less digits than its factorization.

764069040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 764069040 is about 27641.7987837261. The cubic root of 764069040 is about 914.2062811385.

The spelling of 764069040 in words is "seven hundred sixty-four million, sixty-nine thousand, forty".