764864580480 has 1920 divisors, whose sum is σ = 3463095513600. Its totient is φ = 140328714240.

The previous prime is 764864580433. The next prime is 764864580497. The reversal of 764864580480 is 84085468467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33254981749 + ... + 33254981771.

It is an arithmetic number, because the mean of its divisors is an integer number (1803695580).

Almost surely, 2^764864580480 is an apocalyptic number.

764864580480 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 764864580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731547756800).

764864580480 is an abundant number, since it is smaller than the sum of its proper divisors (2698230933120).

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

764864580480 is a wasteful number, since it uses less digits than its factorization.

764864580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 764864580480 in words is "seven hundred sixty-four billion, eight hundred sixty-four million, five hundred eighty thousand, four hundred eighty".