772811829504 has 2160 divisors, whose sum is σ = 3039414100800. Its totient is φ = 193133445120.

The previous prime is 772811829473. The next prime is 772811829509. The reversal of 772811829504 is 405928118277.

772811829504 is a `hidden beast` number, since 77 + 281 + 1 + 8 + 295 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (772811829509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17972368107 + ... + 17972368149.

Almost surely, 2^772811829504 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 772811829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519707050400).

772811829504 is an abundant number, since it is smaller than the sum of its proper divisors (2266602271296).

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

772811829504 is a wasteful number, since it uses less digits than its factorization.

772811829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 772811829504 in words is "seven hundred seventy-two billion, eight hundred eleven million, eight hundred twenty-nine thousand, five hundred four".