8010400 has 144 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2764800.

The previous prime is 8010397. The next prime is 8010403. The reversal of 8010400 is 40108.

It is an interprime number because it is at equal distance from previous prime (8010397) and next prime (8010403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258385 + ... + 258415.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^8010400 is an apocalyptic number.

8010400 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 8010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8010400 is an abundant number, since it is smaller than the sum of its proper divisors (14488160).

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

8010400 is a wasteful number, since it uses less digits than its factorization.

8010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8010400 is about 2830.2650052601. The cubic root of 8010400 is about 200.0866291382.

Adding to 8010400 its reverse (40108), we get a palindrome (8050508).

The spelling of 8010400 in words is "eight million, ten thousand, four hundred".