8000400 has 120 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 2078720.

The previous prime is 8000359. The next prime is 8000401. The reversal of 8000400 is 40008.

It is a tau number, because it is divible by the number of its divisors (120).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70744 + ... + 70856.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 2^8000400 is an apocalyptic number.

8000400 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 8000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

8000400 is an abundant number, since it is smaller than the sum of its proper divisors (18292560).

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

8000400 is a wasteful number, since it uses less digits than its factorization.

8000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

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

The square root of 8000400 is about 2828.4978345404. The cubic root of 8000400 is about 200.0033332778.

Adding to 8000400 its reverse (40008), we get a palindrome (8040408).

It can be divided in two parts, 8000 and 400, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 8000400 in words is "eight million, four hundred", and thus it is an aban number.