801120400 has 60 divisors (see below), whose sum is σ = 1932428772. Its totient is φ = 319160320.

The previous prime is 801120377. The next prime is 801120409. The reversal of 801120400 is 4021108.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 185286544 + 615833856 = 13612^2 + 24816^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (801120409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98904 + ... + 106696.

Almost surely, 2^801120400 is an apocalyptic number.

801120400 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 801120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966214386).

801120400 is an abundant number, since it is smaller than the sum of its proper divisors (1131308372).

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

801120400 is a wasteful number, since it uses less digits than its factorization.

801120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 801120400 is about 28304.0703786576. The cubic root of 801120400 is about 928.7509342458.

Adding to 801120400 its reverse (4021108), we get a palindrome (805141508).

The spelling of 801120400 in words is "eight hundred one million, one hundred twenty thousand, four hundred".