74087085800 has 192 divisors, whose sum is σ = 215170811520. Its totient is φ = 23097000960.

The previous prime is 74087085781. The next prime is 74087085817. The reversal of 74087085800 is 858078047.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189022 + ... + 1249778.

It is an arithmetic number, because the mean of its divisors is an integer number (1120681310).

Almost surely, 2^74087085800 is an apocalyptic number.

74087085800 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 74087085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107585405760).

74087085800 is an abundant number, since it is smaller than the sum of its proper divisors (141083725720).

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

74087085800 is a wasteful number, since it uses less digits than its factorization.

74087085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60860 (or 60851 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The spelling of 74087085800 in words is "seventy-four billion, eighty-seven million, eighty-five thousand, eight hundred".