802112400 has 180 divisors, whose sum is σ = 2813473572. Its totient is φ = 211599360.

The previous prime is 802112329. The next prime is 802112413. The reversal of 802112400 is 4211208.

It can be written as a sum of positive squares in 6 ways, for example, as 26378496 + 775733904 = 5136^2 + 27852^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348052 + ... + 350348.

Almost surely, 2^802112400 is an apocalyptic number.

802112400 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 802112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406736786).

802112400 is an abundant number, since it is smaller than the sum of its proper divisors (2011361172).

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

802112400 is a wasteful number, since it uses less digits than its factorization.

802112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 802112400 is about 28321.5889384759. The cubic root of 802112400 is about 929.1341229684.

Adding to 802112400 its reverse (4211208), we get a palindrome (806323608).

The spelling of 802112400 in words is "eight hundred two million, one hundred twelve thousand, four hundred".