87801840 has 160 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 20065536.

The previous prime is 87801839. The next prime is 87801841. The reversal of 87801840 is 4810878.

It is an interprime number because it is at equal distance from previous prime (87801839) and next prime (87801841).

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

It is a junction number, because it is equal to n+sod(n) for n = 87801795 and 87801804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87801841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12217 + ... + 18023.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2^87801840 is an apocalyptic number.

87801840 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 87801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

87801840 is an abundant number, since it is smaller than the sum of its proper divisors (257890320).

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

87801840 is a wasteful number, since it uses less digits than its factorization.

87801840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87801840 is about 9370.2636035493. The cubic root of 87801840 is about 444.4619006107.

The spelling of 87801840 in words is "eighty-seven million, eight hundred one thousand, eight hundred forty".