8013200 has 120 divisors (see below), whose sum is σ = 21956928. Its totient is φ = 2787840.

The previous prime is 8013157. The next prime is 8013233. The reversal of 8013200 is 23108.

It is a super-2 number, since 2×8013200² = 128422748480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119567 + ... + 119633.

Almost surely, 2^8013200 is an apocalyptic number.

8013200 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 8013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978464).

8013200 is an abundant number, since it is smaller than the sum of its proper divisors (13943728).

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

8013200 is a wasteful number, since it uses less digits than its factorization.

8013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8013200 is about 2830.7596153683. The cubic root of 8013200 is about 200.1099395554.

Adding to 8013200 its reverse (23108), we get a palindrome (8036308).

The spelling of 8013200 in words is "eight million, thirteen thousand, two hundred".