765788290080 has 384 divisors, whose sum is σ = 2663185029120. Its totient is φ = 183419043840.

The previous prime is 765788290067. The next prime is 765788290133. The reversal of 765788290080 is 80092887567.

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

It is a junction number, because it is equal to n+sod(n) for n = 765788289996 and 765788290023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470674227 + ... + 470675853.

It is an arithmetic number, because the mean of its divisors is an integer number (6935377680).

Almost surely, 2^765788290080 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 765788290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331592514560).

765788290080 is an abundant number, since it is smaller than the sum of its proper divisors (1897396739040).

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

765788290080 is a wasteful number, since it uses less digits than its factorization.

765788290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 765788290080 in words is "seven hundred sixty-five billion, seven hundred eighty-eight million, two hundred ninety thousand, eighty".