87773760 has 112 divisors (see below), whose sum is σ = 309676800. Its totient is φ = 23404032.

The previous prime is 87773753. The next prime is 87773779. The reversal of 87773760 is 6737778.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 13719.

Almost surely, 2^87773760 is an apocalyptic number.

87773760 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 87773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154838400).

87773760 is an abundant number, since it is smaller than the sum of its proper divisors (221903040).

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

87773760 is a wasteful number, since it uses less digits than its factorization.

87773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 87773760 is about 9368.7651267390. The cubic root of 87773760 is about 444.4145142808.

The spelling of 87773760 in words is "eighty-seven million, seven hundred seventy-three thousand, seven hundred sixty".