40800 has 72 divisors (see below), whose sum is σ = 140616. Its totient is φ = 10240.

The previous prime is 40787. The next prime is 40801. The reversal of 40800 is 804.

40800 = T₃₁ + T₃₂ + ... + T₆₄.

40800 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40801) by changing a digit.

40800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2392 + ... + 2408.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2⁴⁰⁸⁰⁰ is an apocalyptic number.

40800 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 40800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308).

40800 is an abundant number, since it is smaller than the sum of its proper divisors (99816).

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

40800 is a wasteful number, since it uses less digits than its factorization.

40800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 27 counting only the distinct ones).

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

The square root of 40800 is about 201.9900987672. The cubic root of 40800 is about 34.4260124145.

40800 divided by its product of nonzero digits (32) gives a triangular number (1275 = T₅₀).

The spelling of 40800 in words is "forty thousand, eight hundred".