80420864 has 28 divisors (see below), whose sum is σ = 160848294. Its totient is φ = 40206336.

The previous prime is 80420861. The next prime is 80420867. The reversal of 80420864 is 46802408.

It is an interprime number because it is at equal distance from previous prime (80420861) and next prime (80420867).

It can be written as a sum of positive squares in only one way, i.e., 43454464 + 36966400 = 6592^2 + 6080^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 80420864.

It is not an unprimeable number, because it can be changed into a prime (80420861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3284 + ... + 13100.

Almost surely, 2^80420864 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 80420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80424147).

80420864 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

80420864 is an frugal number, since it uses more digits than its factorization.

80420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 80420864 is about 8967.7680612291. The cubic root of 80420864 is about 431.6412201739.

80420864 divided by its sum of digits (32) gives a palindrome (2513152).

The spelling of 80420864 in words is "eighty million, four hundred twenty thousand, eight hundred sixty-four".