83880787200 has 864 divisors, whose sum is σ = 330912153600. Its totient is φ = 18695577600.

The previous prime is 83880787171. The next prime is 83880787213. The reversal of 83880787200 is 278708838.

It is a happy number.

It is a super-2 number, since 2×83880787200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309523065 + ... + 309523335.

Almost surely, 2^83880787200 is an apocalyptic number.

83880787200 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 83880787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165456076800).

83880787200 is an abundant number, since it is smaller than the sum of its proper divisors (247031366400).

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

83880787200 is a wasteful number, since it uses less digits than its factorization.

83880787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 83880787200 in words is "eighty-three billion, eight hundred eighty million, seven hundred eighty-seven thousand, two hundred".