760501080768 has 1344 divisors, whose sum is σ = 2705111216640. Its totient is φ = 185131008000.

The previous prime is 760501080743. The next prime is 760501080791. The reversal of 760501080768 is 867080105067.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 18548806828 + ... + 18548806868.

It is an arithmetic number, because the mean of its divisors is an integer number (2012731560).

Almost surely, 2^760501080768 is an apocalyptic number.

760501080768 is a gapful number since it is divisible by the number (78) 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 760501080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352555608320).

760501080768 is an abundant number, since it is smaller than the sum of its proper divisors (1944610135872).

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

760501080768 is a wasteful number, since it uses less digits than its factorization.

760501080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 760501080768 in words is "seven hundred sixty billion, five hundred one million, eighty thousand, seven hundred sixty-eight".