772256920401 has 8 divisors (see below), whose sum is σ = 1144084326560. Its totient is φ = 514837946916.

The previous prime is 772256920399. The next prime is 772256920411. The reversal of 772256920401 is 104029652277.

772256920401 is a `hidden beast` number, since 7 + 7 + 22 + 569 + 20 + 40 + 1 = 666.

It is not a de Polignac number, because 772256920401 - 2¹ = 772256920399 is a prime.

It is a super-2 number, since 2×772256920401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772256920411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14301054055 + ... + 14301054108.

It is an arithmetic number, because the mean of its divisors is an integer number (143010540820).

Almost surely, 2^772256920401 is an apocalyptic number.

It is an amenable number.

772256920401 is a deficient number, since it is larger than the sum of its proper divisors (371827406159).

772256920401 is a wasteful number, since it uses less digits than its factorization.

772256920401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602108172 (or 28602108166 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 772256920401 in words is "seven hundred seventy-two billion, two hundred fifty-six million, nine hundred twenty thousand, four hundred one".