77889596400 has 1080 divisors, whose sum is σ = 346696341264. Its totient is φ = 16011878400.

The previous prime is 77889596387. The next prime is 77889596401. The reversal of 77889596400 is 469598877.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77889596401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 265834654 + ... + 265834946.

Almost surely, 2^77889596400 is an apocalyptic number.

77889596400 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 77889596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173348170632).

77889596400 is an abundant number, since it is smaller than the sum of its proper divisors (268806744864).

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

77889596400 is a wasteful number, since it uses less digits than its factorization.

77889596400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 77889596400 in words is "seventy-seven billion, eight hundred eighty-nine million, five hundred ninety-six thousand, four hundred".