80851680 has 288 divisors, whose sum is σ = 340127424. Its totient is φ = 17031168.

The previous prime is 80851679. The next prime is 80851709. The reversal of 80851680 is 8615808.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130732 + ... + 131348.

It is an arithmetic number, because the mean of its divisors is an integer number (1180998).

Almost surely, 2^80851680 is an apocalyptic number.

80851680 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 80851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170063712).

80851680 is an abundant number, since it is smaller than the sum of its proper divisors (259275744).

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

80851680 is a wasteful number, since it uses less digits than its factorization.

80851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 80851680 is about 8991.7562244536. The cubic root of 80851680 is about 432.4106178128.

The spelling of 80851680 in words is "eighty million, eight hundred fifty-one thousand, six hundred eighty".