77398056960 has 896 divisors, whose sum is σ = 308010885120. Its totient is φ = 16194207744.

The previous prime is 77398056929. The next prime is 77398057007. The reversal of 77398056960 is 6965089377.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 77398056894 and 77398056903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979722201 + ... + 979722279.

Almost surely, 2^77398056960 is an apocalyptic number.

77398056960 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 77398056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154005442560).

77398056960 is an abundant number, since it is smaller than the sum of its proper divisors (230612828160).

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

77398056960 is a wasteful number, since it uses less digits than its factorization.

77398056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 77398056960 in words is "seventy-seven billion, three hundred ninety-eight million, fifty-six thousand, nine hundred sixty".