801424400 has 180 divisors, whose sum is σ = 2313780480. Its totient is φ = 265708800.

The previous prime is 801424391. The next prime is 801424409. The reversal of 801424400 is 4424108.

It is an interprime number because it is at equal distance from previous prime (801424391) and next prime (801424409).

It is not an unprimeable number, because it can be changed into a prime (801424409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606941 + ... + 608259.

It is an arithmetic number, because the mean of its divisors is an integer number (12854336).

Almost surely, 2^801424400 is an apocalyptic number.

801424400 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 801424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156890240).

801424400 is an abundant number, since it is smaller than the sum of its proper divisors (1512356080).

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

801424400 is a wasteful number, since it uses less digits than its factorization.

801424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 801424400 is about 28309.4401216273. The cubic root of 801424400 is about 928.8683966474.

Adding to 801424400 its reverse (4424108), we get a palindrome (805848508).

The spelling of 801424400 in words is "eight hundred one million, four hundred twenty-four thousand, four hundred".