87793104 has 120 divisors (see below), whose sum is σ = 266604960. Its totient is φ = 24820992.

The previous prime is 87793103. The next prime is 87793127. The reversal of 87793104 is 40139778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87793103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383262 + ... + 383490.

It is an arithmetic number, because the mean of its divisors is an integer number (2221708).

Almost surely, 2^87793104 is an apocalyptic number.

87793104 is a gapful number since it is divisible by the number (84) 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 87793104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133302480).

87793104 is an abundant number, since it is smaller than the sum of its proper divisors (178811856).

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

87793104 is a wasteful number, since it uses less digits than its factorization.

87793104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 87793104 is about 9369.7974364444. The cubic root of 87793104 is about 444.4471592797.

The spelling of 87793104 in words is "eighty-seven million, seven hundred ninety-three thousand, one hundred four".