812936880 has 240 divisors, whose sum is σ = 3152994624. Its totient is φ = 183859200.

The previous prime is 812936867. The next prime is 812936881. The reversal of 812936880 is 88639218.

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 not an unprimeable number, because it can be changed into a prime (812936881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508242 + ... + 509838.

Almost surely, 2^812936880 is an apocalyptic number.

812936880 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 812936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576497312).

812936880 is an abundant number, since it is smaller than the sum of its proper divisors (2340057744).

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

812936880 is a wasteful number, since it uses less digits than its factorization.

812936880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 812936880 is about 28512.0479797576. The cubic root of 812936880 is about 933.2950063626.

The spelling of 812936880 in words is "eight hundred twelve million, nine hundred thirty-six thousand, eight hundred eighty".