800264400000 has 768 divisors, whose sum is σ = 2930336196480. Its totient is φ = 192245760000.

The previous prime is 800264399999. The next prime is 800264400037. The reversal of 800264400000 is 4462008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670799404 + ... + 670800596.

Almost surely, 2^800264400000 is an apocalyptic number.

800264400000 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 800264400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465168098240).

800264400000 is an abundant number, since it is smaller than the sum of its proper divisors (2130071796480).

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

800264400000 is a wasteful number, since it uses less digits than its factorization.

800264400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 800264400000 its reverse (4462008), we get a palindrome (800268862008).

The spelling of 800264400000 in words is "eight hundred billion, two hundred sixty-four million, four hundred thousand".