77045068800 has 1584 divisors, whose sum is σ = 344653750272. Its totient is φ = 16057958400.

The previous prime is 77045068781. The next prime is 77045068811. The reversal of 77045068800 is 886054077.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1149926367 + ... + 1149926433.

Almost surely, 2^77045068800 is an apocalyptic number.

77045068800 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 77045068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172326875136).

77045068800 is an abundant number, since it is smaller than the sum of its proper divisors (267608681472).

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

77045068800 is a wasteful number, since it uses less digits than its factorization.

77045068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 77045068800 in words is "seventy-seven billion, forty-five million, sixty-eight thousand, eight hundred".