802788224400 has 240 divisors, whose sum is σ = 2897578293120. Its totient is φ = 211061491200.

The previous prime is 802788224387. The next prime is 802788224417. The reversal of 802788224400 is 4422887208.

802788224400 is a `hidden beast` number, since 80 + 2 + 78 + 82 + 24 + 400 = 666.

802788224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243334 + ... + 1290266.

It is an arithmetic number, because the mean of its divisors is an integer number (12073242888).

Almost surely, 2^802788224400 is an apocalyptic number.

802788224400 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 802788224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448789146560).

802788224400 is an abundant number, since it is smaller than the sum of its proper divisors (2094790068720).

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

802788224400 is a wasteful number, since it uses less digits than its factorization.

802788224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047031 (or 1047014 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 802788224400 in words is "eight hundred two billion, seven hundred eighty-eight million, two hundred twenty-four thousand, four hundred".