87379200 has 324 divisors, whose sum is σ = 328669068. Its totient is φ = 22118400.

The previous prime is 87379183. The next prime is 87379207. The reversal of 87379200 is 297378.

87379200 is a `hidden beast` number, since 87 + 379 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3326976 + 84052224 = 1824^2 + 9168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87379207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131180 + ... + 2131220.

Almost surely, 2^87379200 is an apocalyptic number.

87379200 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 87379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164334534).

87379200 is an abundant number, since it is smaller than the sum of its proper divisors (241289868).

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

87379200 is a wasteful number, since it uses less digits than its factorization.

87379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 87379200 is about 9347.6842051922. The cubic root of 87379200 is about 443.7476042984.

The spelling of 87379200 in words is "eighty-seven million, three hundred seventy-nine thousand, two hundred".