772668220800 has 576 divisors, whose sum is σ = 2965382792640. Its totient is φ = 176317747200.

The previous prime is 772668220799. The next prime is 772668220823. The reversal of 772668220800 is 8022866277.

It is a happy number.

772668220800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 772668220800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 426651895 + ... + 426653705.

It is an arithmetic number, because the mean of its divisors is an integer number (5148234015).

Almost surely, 2^772668220800 is an apocalyptic number.

772668220800 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 772668220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482691396320).

772668220800 is an abundant number, since it is smaller than the sum of its proper divisors (2192714571840).

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

772668220800 is a wasteful number, since it uses less digits than its factorization.

772668220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 772668220800 in words is "seven hundred seventy-two billion, six hundred sixty-eight million, two hundred twenty thousand, eight hundred".