772292793604752 has 480 divisors, whose sum is σ = 2578988844816384. Its totient is φ = 219157415424000.

The previous prime is 772292793604669. The next prime is 772292793604757. The reversal of 772292793604752 is 257406397292277.

772292793604752 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 9 + 2 + 7 + 9 + 3 + 604 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (772292793604757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33538564663 + ... + 33538587689.

Almost surely, 2^{772292793604752} is an apocalyptic number.

772292793604752 is a gapful number since it is divisible by the number (72) 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 772292793604752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289494422408192).

772292793604752 is an abundant number, since it is smaller than the sum of its proper divisors (1806696051211632).

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

772292793604752 is a wasteful number, since it uses less digits than its factorization.

772292793604752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31369 (or 31351 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 772292793604752 in words is "seven hundred seventy-two trillion, two hundred ninety-two billion, seven hundred ninety-three million, six hundred four thousand, seven hundred fifty-two".