85078036800 has 1344 divisors, whose sum is σ = 351586068480. Its totient is φ = 19906560000.

The previous prime is 85078036759. The next prime is 85078036801. The reversal of 85078036800 is 863087058.

85078036800 is a `hidden beast` number, since 8 + 507 + 80 + 3 + 68 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85078036801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 842356750 + ... + 842356850.

Almost surely, 2^85078036800 is an apocalyptic number.

85078036800 is a gapful number since it is divisible by the number (80) 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 85078036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175793034240).

85078036800 is an abundant number, since it is smaller than the sum of its proper divisors (266508031680).

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

85078036800 is a wasteful number, since it uses less digits than its factorization.

85078036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85078036800 in words is "eighty-five billion, seventy-eight million, thirty-six thousand, eight hundred".