802022400 has 297 divisors, whose sum is σ = 2921116081. Its totient is φ = 210247680.

The previous prime is 802022383. The next prime is 802022401. The reversal of 802022400 is 4220208.

The square root of 802022400 is 28320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 513294336 = 16992^2 + 22656^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802022401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13593571 + ... + 13593629.

Almost surely, 2^802022400 is an apocalyptic number.

802022400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

802022400 is the 28320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802022400

802022400 is an abundant number, since it is smaller than the sum of its proper divisors (2119093681).

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

802022400 is a wasteful number, since it uses less digits than its factorization.

802022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The cubic root of 802022400 is about 929.0993708984.

Multiplying 802022400 by its product of nonzero digits (256), we get a square (205317734400 = 453120²).

802022400 divided by its product of nonzero digits (256) gives a square (3132900 = 1770²).

Adding to 802022400 its reverse (4220208), we get a palindrome (806242608).

The spelling of 802022400 in words is "eight hundred two million, twenty-two thousand, four hundred".