772073938944 has 1568 divisors, whose sum is σ = 3053006913024. Its totient is φ = 189191946240.

The previous prime is 772073938943. The next prime is 772073938963. The reversal of 772073938944 is 449839370277.

772073938944 is a `hidden beast` number, since 7 + 7 + 207 + 3 + 9 + 389 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772073938943) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10576355292 + ... + 10576355364.

Almost surely, 2^772073938944 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 772073938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526503456512).

772073938944 is an abundant number, since it is smaller than the sum of its proper divisors (2280932974080).

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

772073938944 is an equidigital number, since it uses as much as digits as its factorization.

772073938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 772073938944 in words is "seven hundred seventy-two billion, seventy-three million, nine hundred thirty-eight thousand, nine hundred forty-four".