87800832 has 132 divisors (see below), whose sum is σ = 289953456. Its totient is φ = 25067520.

The previous prime is 87800831. The next prime is 87800833. The reversal of 87800832 is 23800878.

It is an interprime number because it is at equal distance from previous prime (87800831) and next prime (87800833).

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 (87800831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63832 + ... + 65192.

Almost surely, 2^87800832 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 87800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144976728).

87800832 is an abundant number, since it is smaller than the sum of its proper divisors (202152624).

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

87800832 is a wasteful number, since it uses less digits than its factorization.

87800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87800832 is about 9370.2098162208. The cubic root of 87800832 is about 444.4601997378.

The spelling of 87800832 in words is "eighty-seven million, eight hundred thousand, eight hundred thirty-two".