764603840 has 504 divisors, whose sum is σ = 2587971456. Its totient is φ = 212889600.

The previous prime is 764603837. The next prime is 764603843. The reversal of 764603840 is 48306467.

It is a happy number.

764603840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (764603837) and next prime (764603843).

It is a junction number, because it is equal to n+sod(n) for n = 764603794 and 764603803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764603843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24664625 + ... + 24664655.

It is an arithmetic number, because the mean of its divisors is an integer number (5134864).

Almost surely, 2^764603840 is an apocalyptic number.

764603840 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 764603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293985728).

764603840 is an abundant number, since it is smaller than the sum of its proper divisors (1823367616).

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

764603840 is a wasteful number, since it uses less digits than its factorization.

764603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 764603840 is about 27651.4708469550. The cubic root of 764603840 is about 914.4195269175.

The spelling of 764603840 in words is "seven hundred sixty-four million, six hundred three thousand, eight hundred forty".