78009292800 has 864 divisors, whose sum is σ = 297420963840. Its totient is φ = 19508428800.

The previous prime is 78009292729. The next prime is 78009292819. The reversal of 78009292800 is 829290087.

It is a super-2 number, since 2×78009292800² (a number of 23 digits) contains 22 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, 614246337 + ... + 614246463.

Almost surely, 2^78009292800 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 78009292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148710481920).

78009292800 is an abundant number, since it is smaller than the sum of its proper divisors (219411671040).

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

78009292800 is a wasteful number, since it uses less digits than its factorization.

78009292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

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

The spelling of 78009292800 in words is "seventy-eight billion, nine million, two hundred ninety-two thousand, eight hundred".