87827079600 has 960 divisors, whose sum is σ = 368256430080. Its totient is φ = 19674316800.

The previous prime is 87827079581. The next prime is 87827079601. The reversal of 87827079600 is 697072878.

87827079600 is a `hidden beast` number, since 8 + 7 + 8 + 27 + 0 + 7 + 9 + 600 = 666.

It is a super-2 number, since 2×87827079600² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87827079601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73990207 + ... + 73991393.

It is an arithmetic number, because the mean of its divisors is an integer number (383600448).

Almost surely, 2^87827079600 is an apocalyptic number.

87827079600 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 87827079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184128215040).

87827079600 is an abundant number, since it is smaller than the sum of its proper divisors (280429350480).

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

87827079600 is a wasteful number, since it uses less digits than its factorization.

87827079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

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

The spelling of 87827079600 in words is "eighty-seven billion, eight hundred twenty-seven million, seventy-nine thousand, six hundred".