772426401968 has 240 divisors, whose sum is σ = 1694709656640. Its totient is φ = 338859915264.

The previous prime is 772426401947. The next prime is 772426402001. The reversal of 772426401968 is 869104624277.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7086480698 + ... + 7086480806.

It is an arithmetic number, because the mean of its divisors is an integer number (7061290236).

Almost surely, 2^772426401968 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 772426401968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847354828320).

772426401968 is an abundant number, since it is smaller than the sum of its proper divisors (922283254672).

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

772426401968 is a wasteful number, since it uses less digits than its factorization.

772426401968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 772426401968 in words is "seven hundred seventy-two billion, four hundred twenty-six million, four hundred one thousand, nine hundred sixty-eight".