8016400 has 90 divisors (see below), whose sum is σ = 22458570. Its totient is φ = 2741760.

The previous prime is 8016373. The next prime is 8016403. The reversal of 8016400 is 46108.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 6210064 = 1344^2 + 2492^2 .

It is not an unprimeable number, because it can be changed into a prime (8016403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19396 + ... + 19804.

Almost surely, 2^8016400 is an apocalyptic number.

8016400 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 8016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229285).

8016400 is an abundant number, since it is smaller than the sum of its proper divisors (14442170).

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

8016400 is a wasteful number, since it uses less digits than its factorization.

8016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8016400 is about 2831.3247782619. The cubic root of 8016400 is about 200.1365733840.

The spelling of 8016400 in words is "eight million, sixteen thousand, four hundred".