772263460320000 has 2880 divisors, whose sum is σ = 3008438631475200. Its totient is φ = 173843988480000.

The previous prime is 772263460319951. The next prime is 772263460320007. The reversal of 772263460320000 is 23064362277.

772263460320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (772263460320007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1357229279716 + ... + 1357229280284.

It is an arithmetic number, because the mean of its divisors is an integer number (1044596747040).

Almost surely, 2^{772263460320000} 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 772263460320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504219315737600).

772263460320000 is an abundant number, since it is smaller than the sum of its proper divisors (2236175171155200).

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

772263460320000 is a wasteful number, since it uses less digits than its factorization.

772263460320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 772263460320000 in words is "seven hundred seventy-two trillion, two hundred sixty-three billion, four hundred sixty million, three hundred twenty thousand".