812880000 has 240 divisors, whose sum is σ = 2925586950. Its totient is φ = 216576000.

The previous prime is 812879999. The next prime is 812880001. The reversal of 812880000 is 88218.

It is an interprime number because it is at equal distance from previous prime (812879999) and next prime (812880001).

It can be written as a sum of positive squares in 5 ways, for example, as 14930496 + 797949504 = 3864^2 + 28248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (812880001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719436 + ... + 720564.

Almost surely, 2^812880000 is an apocalyptic number.

812880000 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 812880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462793475).

812880000 is an abundant number, since it is smaller than the sum of its proper divisors (2112706950).

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

812880000 is a wasteful number, since it uses less digits than its factorization.

812880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 812880000 is about 28511.0504892401. The cubic root of 812880000 is about 933.2732387612.

The spelling of 812880000 in words is "eight hundred twelve million, eight hundred eighty thousand".