77798434560 has 1152 divisors, whose sum is σ = 329467944960. Its totient is φ = 15173222400.

The previous prime is 77798434543. The next prime is 77798434583. The reversal of 77798434560 is 6543489777.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77798434494 and 77798434503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368712855 + ... + 368713065.

It is an arithmetic number, because the mean of its divisors is an integer number (285996480).

Almost surely, 2^77798434560 is an apocalyptic number.

77798434560 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 77798434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164733972480).

77798434560 is an abundant number, since it is smaller than the sum of its proper divisors (251669510400).

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

77798434560 is a wasteful number, since it uses less digits than its factorization.

77798434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 77798434560 in words is "seventy-seven billion, seven hundred ninety-eight million, four hundred thirty-four thousand, five hundred sixty".