87804000 has 240 divisors, whose sum is σ = 323459136. Its totient is φ = 23328000.

The previous prime is 87803993. The next prime is 87804007. The reversal of 87804000 is 40878.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87803993) and next prime (87804007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87804007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323865 + ... + 324135.

Almost surely, 2^87804000 is an apocalyptic number.

87804000 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 87804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161729568).

87804000 is an abundant number, since it is smaller than the sum of its proper divisors (235655136).

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

87804000 is a wasteful number, since it uses less digits than its factorization.

87804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87804000 is about 9370.3788610707. The cubic root of 87804000 is about 444.4655452945.

Adding to 87804000 its reverse (40878), we get a palindrome (87844878).

The spelling of 87804000 in words is "eighty-seven million, eight hundred four thousand".