78900940800 has 936 divisors, whose sum is σ = 317210301408. Its totient is φ = 18579456000.

The previous prime is 78900940721. The next prime is 78900940819. The reversal of 78900940800 is 804900987.

It is a super-3 number, since 3×78900940800³ (a number of 34 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 435916710 + ... + 435916890.

Almost surely, 2^78900940800 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 78900940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158605150704).

78900940800 is an abundant number, since it is smaller than the sum of its proper divisors (238309360608).

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

78900940800 is a wasteful number, since it uses less digits than its factorization.

78900940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 78900940800 in words is "seventy-eight billion, nine hundred million, nine hundred forty thousand, eight hundred".