87793440 has 384 divisors, whose sum is σ = 352719360. Its totient is φ = 17891328.

The previous prime is 87793421. The next prime is 87793441. The reversal of 87793440 is 4439778.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87793392 and 87793401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87793441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1656454 + ... + 1656506.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 2^87793440 is an apocalyptic number.

87793440 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 87793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176359680).

87793440 is an abundant number, since it is smaller than the sum of its proper divisors (264925920).

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

87793440 is a wasteful number, since it uses less digits than its factorization.

87793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 87793440 is about 9369.8153663773. The cubic root of 87793440 is about 444.4477262721.

The spelling of 87793440 in words is "eighty-seven million, seven hundred ninety-three thousand, four hundred forty".