86801280 has 128 divisors (see below), whose sum is σ = 282229920. Its totient is φ = 22683648.

The previous prime is 86801279. The next prime is 86801357. The reversal of 86801280 is 8210868.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101334 + ... + 102186.

Almost surely, 2^86801280 is an apocalyptic number.

86801280 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 86801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141114960).

86801280 is an abundant number, since it is smaller than the sum of its proper divisors (195428640).

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

86801280 is a wasteful number, since it uses less digits than its factorization.

86801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 86801280 is about 9316.7204530350. The cubic root of 86801280 is about 442.7671341775.

The spelling of 86801280 in words is "eighty-six million, eight hundred one thousand, two hundred eighty".