4000800 has 72 divisors (see below), whose sum is σ = 13030416. Its totient is φ = 1066240.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000800 is 80004.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 1567 + ... + 3233.

It is an arithmetic number, because the mean of its divisors is an integer number (180978).

Almost surely, 2^4000800 is an apocalyptic number.

4000800 is a gapful number since it is divisible by the number (40) 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 4000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515208).

4000800 is an abundant number, since it is smaller than the sum of its proper divisors (9029616).

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

4000800 is a wasteful number, since it uses less digits than its factorization.

4000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4000800 is about 2000.1999900010. The cubic root of 4000800 is about 158.7506871651.

Adding to 4000800 its reverse (80004), we get a palindrome (4080804).

It can be divided in two parts, 4000 and 800, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 4000800 in words is "four million, eight hundred", and thus it is an aban number.