77948431230400 has 168 divisors, whose sum is σ = 192129821723840. Its totient is φ = 31126104576000.

The previous prime is 77948431230323. The next prime is 77948431230419. The reversal of 77948431230400 is 403213484977.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334397705 + ... + 2334431095.

Almost surely, 2^{77948431230400} 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 77948431230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96064910861920).

77948431230400 is an abundant number, since it is smaller than the sum of its proper divisors (114181390493440).

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

77948431230400 is a wasteful number, since it uses less digits than its factorization.

77948431230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35863 (or 35848 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 77948431230400 in words is "seventy-seven trillion, nine hundred forty-eight billion, four hundred thirty-one million, two hundred thirty thousand, four hundred".