9872787600 has 480 divisors, whose sum is σ = 39845366400. Its totient is φ = 2301696000.

The previous prime is 9872787593. The next prime is 9872787647. The reversal of 9872787600 is 67872789.

9872787600 is a `hidden beast` number, since 9 + 8 + 7 + 27 + 8 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2665750 + ... + 2669450.

It is an arithmetic number, because the mean of its divisors is an integer number (83011180).

Almost surely, 2^9872787600 is an apocalyptic number.

9872787600 is a gapful number since it is divisible by the number (90) 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 9872787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922683200).

9872787600 is an abundant number, since it is smaller than the sum of its proper divisors (29972578800).

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

9872787600 is a wasteful number, since it uses less digits than its factorization.

9872787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 9872787600 is about 99361.9021557055. The cubic root of 9872787600 is about 2145.2599812027.

The spelling of 9872787600 in words is "nine billion, eight hundred seventy-two million, seven hundred eighty-seven thousand, six hundred".