87376000 has 128 divisors (see below), whose sum is σ = 224040960. Its totient is φ = 33868800.

The previous prime is 87375979. The next prime is 87376021. The reversal of 87376000 is 67378.

It is an interprime number because it is at equal distance from previous prime (87375979) and next prime (87376021).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×87376000³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687937 + ... + 688063.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 2^87376000 is an apocalyptic number.

87376000 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 87376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112020480).

87376000 is an abundant number, since it is smaller than the sum of its proper divisors (136664960).

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

87376000 is a wasteful number, since it uses less digits than its factorization.

87376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 87376000 is about 9347.5130382364. The cubic root of 87376000 is about 443.7421872591.

The spelling of 87376000 in words is "eighty-seven million, three hundred seventy-six thousand".