802630400 has 216 divisors, whose sum is σ = 2336610864. Its totient is φ = 269107200.

The previous prime is 802630399. The next prime is 802630417. The reversal of 802630400 is 4036208.

It is a happy number.

802630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 914762 + ... + 915638.

Almost surely, 2^802630400 is an apocalyptic number.

802630400 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 802630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168305432).

802630400 is an abundant number, since it is smaller than the sum of its proper divisors (1533980464).

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

802630400 is a wasteful number, since it uses less digits than its factorization.

802630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 802630400 is about 28330.7324296425. The cubic root of 802630400 is about 929.3340899172.

Adding to 802630400 its reverse (4036208), we get a palindrome (806666608).

The spelling of 802630400 in words is "eight hundred two million, six hundred thirty thousand, four hundred".