80861760 has 336 divisors, whose sum is σ = 333573120. Its totient is φ = 18385920.

The previous prime is 80861749. The next prime is 80861779. The reversal of 80861760 is 6716808.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423265 + ... + 423455.

Almost surely, 2^80861760 is an apocalyptic number.

80861760 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 80861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

80861760 is an abundant number, since it is smaller than the sum of its proper divisors (252711360).

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

80861760 is a wasteful number, since it uses less digits than its factorization.

80861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80861760 is about 8992.3167204008. The cubic root of 80861760 is about 432.4285870041.

The spelling of 80861760 in words is "eighty million, eight hundred sixty-one thousand, seven hundred sixty".