80869680 has 120 divisors (see below), whose sum is σ = 287606592. Its totient is φ = 20293632.

The previous prime is 80869673. The next prime is 80869709. The reversal of 80869680 is 8696808.

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8937 + ... + 15543.

Almost surely, 2^80869680 is an apocalyptic number.

80869680 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 80869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143803296).

80869680 is an abundant number, since it is smaller than the sum of its proper divisors (206736912).

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

80869680 is a wasteful number, since it uses less digits than its factorization.

80869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 80869680 is about 8992.7570855661. The cubic root of 80869680 is about 432.4427046068.

It can be divided in two parts, 8086 and 9680, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 80869680 in words is "eighty million, eight hundred sixty-nine thousand, six hundred eighty".