760384322880 has 1344 divisors, whose sum is σ = 3180707481600. Its totient is φ = 150267985920.

The previous prime is 760384322879. The next prime is 760384322897. The reversal of 760384322880 is 88223483067.

It is a happy number.

760384322880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2826707386 + ... + 2826707654.

Almost surely, 2^760384322880 is an apocalyptic number.

760384322880 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 760384322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590353740800).

760384322880 is an abundant number, since it is smaller than the sum of its proper divisors (2420323158720).

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

760384322880 is a wasteful number, since it uses less digits than its factorization.

760384322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 760384322880 in words is "seven hundred sixty billion, three hundred eighty-four million, three hundred twenty-two thousand, eight hundred eighty".