Search a number
-
+
8080800 = 2535271337
BaseRepresentation
bin11110110100110110100000
3120012112202220
4132310312200
54032041200
6445111040
7125454120
oct36646640
916175686
108080800
11461a252
122858480
13189c150
141104c80
15a994a0
hex7b4da0

8080800 has 288 divisors, whose sum is σ = 33247872. Its totient is φ = 1658880.

The previous prime is 8080799. The next prime is 8080823. The reversal of 8080800 is 80808.

It is a happy number.

8080800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 218382 + ... + 218418.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 28080800 is an apocalyptic number.

8080800 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 8080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

8080800 is an abundant number, since it is smaller than the sum of its proper divisors (25167072).

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

8080800 is a wasteful number, since it uses less digits than its factorization.

8080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8080800 is about 2842.6747967363. The cubic root of 8080800 is about 200.6710790792.

Multiplying 8080800 by its reverse (80808), we get a square (652993286400 = 8080802).

8080800 divided by its reverse (80808) gives a square (100 = 102).

The spelling of 8080800 in words is "eight million, eighty thousand, eight hundred".