775006720320 has 672 divisors, whose sum is σ = 2901043728000. Its totient is φ = 174770749440.

The previous prime is 775006720283. The next prime is 775006720333. The reversal of 775006720320 is 23027600577.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1553119431 + ... + 1553119929.

Almost surely, 2^775006720320 is an apocalyptic number.

775006720320 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 775006720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450521864000).

775006720320 is an abundant number, since it is smaller than the sum of its proper divisors (2126037007680).

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

775006720320 is a wasteful number, since it uses less digits than its factorization.

775006720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 775006720320 in words is "seven hundred seventy-five billion, six million, seven hundred twenty thousand, three hundred twenty".