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806040720 = 2437517271
BaseRepresentation
bin110000000010110…
…011010010010000
32002011201010000000
4300002303102100
53122321300340
6211552130000
725655142642
oct6002632220
92064633000
10806040720
11383a97361
121a5b36900
13cacb9594
147909c892
154ab6bd30
hex300b3490

806040720 has 320 divisors, whose sum is σ = 2986951680. Its totient is φ = 201553920.

The previous prime is 806040673. The next prime is 806040749. The reversal of 806040720 is 27040608.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2974185 + ... + 2974455.

It is an arithmetic number, because the mean of its divisors is an integer number (9334224).

Almost surely, 2806040720 is an apocalyptic number.

806040720 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 806040720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493475840).

806040720 is an abundant number, since it is smaller than the sum of its proper divisors (2180910960).

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

806040720 is a wasteful number, since it uses less digits than its factorization.

806040720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 806040720 is about 28390.8562745120. The cubic root of 806040720 is about 930.6484551389.

The spelling of 806040720 in words is "eight hundred six million, forty thousand, seven hundred twenty".