87679800 has 192 divisors, whose sum is σ = 325500000. Its totient is φ = 21565440.

The previous prime is 87679799. The next prime is 87679849. The reversal of 87679800 is 897678.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69576 + ... + 70824.

Almost surely, 2^87679800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162750000).

87679800 is an abundant number, since it is smaller than the sum of its proper divisors (237820200).

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

87679800 is a wasteful number, since it uses less digits than its factorization.

87679800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87679800 is about 9363.7492490989. The cubic root of 87679800 is about 444.2558788044.

The spelling of 87679800 in words is "eighty-seven million, six hundred seventy-nine thousand, eight hundred".