87752808 has 160 divisors (see below), whose sum is σ = 289064160. Its totient is φ = 24520320.

The previous prime is 87752803. The next prime is 87752813. The reversal of 87752808 is 80825778.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87752803) and next prime (87752813).

It is not an unprimeable number, because it can be changed into a prime (87752801) 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, 92191 + ... + 93137.

It is an arithmetic number, because the mean of its divisors is an integer number (1806651).

Almost surely, 2^87752808 is an apocalyptic number.

87752808 is a gapful number since it is divisible by the number (88) 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 87752808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144532080).

87752808 is an abundant number, since it is smaller than the sum of its proper divisors (201311352).

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

87752808 is a wasteful number, since it uses less digits than its factorization.

87752808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 87752808 is about 9367.6468763505. The cubic root of 87752808 is about 444.3791502043.

The spelling of 87752808 in words is "eighty-seven million, seven hundred fifty-two thousand, eight hundred eight".