77878087372800 has 4680 divisors, whose sum is σ = 351491537768448. Its totient is φ = 16922168524800.

The previous prime is 77878087372763. The next prime is 77878087372829. The reversal of 77878087372800 is 827378087877.

It is a tau number, because it is divible by the number of its divisors (4680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 613213286337 + ... + 613213286463.

Almost surely, 2^{77878087372800} 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 77878087372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175745768884224).

77878087372800 is an abundant number, since it is smaller than the sum of its proper divisors (273613450395648).

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

77878087372800 is a wasteful number, since it uses less digits than its factorization.

77878087372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 413048832, while the sum is 72.

The spelling of 77878087372800 in words is "seventy-seven trillion, eight hundred seventy-eight billion, eighty-seven million, three hundred seventy-two thousand, eight hundred".