87769680 has 160 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 22080000.

The previous prime is 87769663. The next prime is 87769729. The reversal of 87769680 is 8696778.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 349555 + ... + 349805.

Almost surely, 2^87769680 is an apocalyptic number.

87769680 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 87769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

87769680 is an abundant number, since it is smaller than the sum of its proper divisors (200211888).

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

87769680 is a wasteful number, since it uses less digits than its factorization.

87769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 87769680 is about 9368.5473793967. The cubic root of 87769680 is about 444.4076282467.

The spelling of 87769680 in words is "eighty-seven million, seven hundred sixty-nine thousand, six hundred eighty".