764375040 has 624 divisors, whose sum is σ = 3220045920. Its totient is φ = 165150720.

The previous prime is 764375021. The next prime is 764375041. The reversal of 764375040 is 40573467.

764375040 is a `hidden beast` number, since 7 + 643 + 7 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 = 764374986 and 764375004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764375041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26357746 + ... + 26357774.

It is an arithmetic number, because the mean of its divisors is an integer number (5160330).

Almost surely, 2^764375040 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 764375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610022960).

764375040 is an abundant number, since it is smaller than the sum of its proper divisors (2455670880).

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

764375040 is a wasteful number, since it uses less digits than its factorization.

764375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 764375040 is about 27647.3333252956. Note that the first 4 decimals coincide. The cubic root of 764375040 is about 914.3283075395.

The spelling of 764375040 in words is "seven hundred sixty-four million, three hundred seventy-five thousand, forty".