77823516960 has 1200 divisors, whose sum is σ = 333604007352. Its totient is φ = 17069875200.

The previous prime is 77823516941. The next prime is 77823516973. The reversal of 77823516960 is 6961532877.

It can be written as a sum of positive squares in 4 ways, for example, as 19420094736 + 58403422224 = 139356^2 + 241668^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 77823516897 and 77823516906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1275795330 + ... + 1275795390.

Almost surely, 2^77823516960 is an apocalyptic number.

77823516960 is a gapful number since it is divisible by the number (70) 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 77823516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166802003676).

77823516960 is an abundant number, since it is smaller than the sum of its proper divisors (255780490392).

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

77823516960 is an equidigital number, since it uses as much as digits as its factorization.

77823516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 77823516960 in words is "seventy-seven billion, eight hundred twenty-three million, five hundred sixteen thousand, nine hundred sixty".