87877440 has 224 divisors, whose sum is σ = 354543360. Its totient is φ = 20072448.

The previous prime is 87877429. The next prime is 87877463. The reversal of 87877440 is 4477878.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59754 + ... + 61206.

Almost surely, 2^87877440 is an apocalyptic number.

87877440 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 87877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177271680).

87877440 is an abundant number, since it is smaller than the sum of its proper divisors (266665920).

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

87877440 is a wasteful number, since it uses less digits than its factorization.

87877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 87877440 is about 9374.2967736252. The cubic root of 87877440 is about 444.5894289950.

The spelling of 87877440 in words is "eighty-seven million, eight hundred seventy-seven thousand, four hundred forty".