80020864 has 128 divisors (see below), whose sum is σ = 207982080. Its totient is φ = 29736960.

The previous prime is 80020861. The next prime is 80020873. The reversal of 80020864 is 46802008.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80020861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226512 + ... + 226864.

It is an arithmetic number, because the mean of its divisors is an integer number (1624860).

Almost surely, 2^80020864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103991040).

80020864 is an abundant number, since it is smaller than the sum of its proper divisors (127961216).

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

80020864 is a wasteful number, since it uses less digits than its factorization.

80020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 80020864 is about 8945.4381670212. The cubic root of 80020864 is about 430.9243931883.

The spelling of 80020864 in words is "eighty million, twenty thousand, eight hundred sixty-four".