85780939200 has 672 divisors, whose sum is σ = 327285266688. Its totient is φ = 19439616000.

The previous prime is 85780939193. The next prime is 85780939243. The reversal of 85780939200 is 293908758.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 203754990 + ... + 203755410.

Almost surely, 2^85780939200 is an apocalyptic number.

85780939200 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 85780939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163642633344).

85780939200 is an abundant number, since it is smaller than the sum of its proper divisors (241504327488).

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

85780939200 is a wasteful number, since it uses less digits than its factorization.

85780939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 85780939200 in words is "eighty-five billion, seven hundred eighty million, nine hundred thirty-nine thousand, two hundred".