78039082800 has 960 divisors, whose sum is σ = 340476303360. Its totient is φ = 16587141120.

The previous prime is 78039082787. The next prime is 78039082871. The reversal of 78039082800 is 828093087.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64334994 + ... + 64336206.

It is an arithmetic number, because the mean of its divisors is an integer number (354662816).

Almost surely, 2^78039082800 is an apocalyptic number.

78039082800 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 78039082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170238151680).

78039082800 is an abundant number, since it is smaller than the sum of its proper divisors (262437220560).

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

78039082800 is a wasteful number, since it uses less digits than its factorization.

78039082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 7803 and 9082800, that multiplied together give a square (70873088400 = 266220²).

The spelling of 78039082800 in words is "seventy-eight billion, thirty-nine million, eighty-two thousand, eight hundred".