77989132800 has 1200 divisors, whose sum is σ = 314963367840. Its totient is φ = 18990858240.

The previous prime is 77989132751. The next prime is 77989132801. The reversal of 77989132800 is 823198977.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (77989132801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 728870347 + ... + 728870453.

Almost surely, 2^77989132800 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 77989132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157481683920).

77989132800 is an abundant number, since it is smaller than the sum of its proper divisors (236974235040).

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

77989132800 is a wasteful number, since it uses less digits than its factorization.

77989132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 77989132800 in words is "seventy-seven billion, nine hundred eighty-nine million, one hundred thirty-two thousand, eight hundred".