772148838401 has 4 divisors (see below), whose sum is σ = 773289383892. Its totient is φ = 771008292912.

The previous prime is 772148838367. The next prime is 772148838403. The reversal of 772148838401 is 104838841277.

It is a Cunningham number, because it is equal to 878720²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 767593263376 + 4555575025 = 876124^2 + 67495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772148838401 is a prime.

It is a super-2 number, since 2×772148838401² (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 (772148838403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570271730 + ... + 570273083.

It is an arithmetic number, because the mean of its divisors is an integer number (193322345973).

Almost surely, 2^772148838401 is an apocalyptic number.

It is an amenable number.

772148838401 is a deficient number, since it is larger than the sum of its proper divisors (1140545491).

772148838401 is a wasteful number, since it uses less digits than its factorization.

772148838401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140545490.

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 772148838401 in words is "seven hundred seventy-two billion, one hundred forty-eight million, eight hundred thirty-eight thousand, four hundred one".