87578607600 has 1440 divisors, whose sum is σ = 380810626560. Its totient is φ = 18358272000.

The previous prime is 87578607593. The next prime is 87578607607. The reversal of 87578607600 is 670687578.

87578607600 is a `hidden beast` number, since 8 + 7 + 578 + 6 + 0 + 7 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87578607593) and next prime (87578607607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87578607607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 524422717 + ... + 524422883.

It is an arithmetic number, because the mean of its divisors is an integer number (264451824).

Almost surely, 2^87578607600 is an apocalyptic number.

87578607600 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 87578607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190405313280).

87578607600 is an abundant number, since it is smaller than the sum of its proper divisors (293232018960).

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

87578607600 is a wasteful number, since it uses less digits than its factorization.

87578607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 87578607600 in words is "eighty-seven billion, five hundred seventy-eight million, six hundred seven thousand, six hundred".