812242080 has 288 divisors, whose sum is σ = 3097471104. Its totient is φ = 199812096.

The previous prime is 812242073. The next prime is 812242091. The reversal of 812242080 is 80242218.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 504637 + ... + 506243.

It is an arithmetic number, because the mean of its divisors is an integer number (10755108).

Almost surely, 2^812242080 is an apocalyptic number.

812242080 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 812242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548735552).

812242080 is an abundant number, since it is smaller than the sum of its proper divisors (2285229024).

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

812242080 is a wasteful number, since it uses less digits than its factorization.

812242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 812242080 is about 28499.8610522929. The cubic root of 812242080 is about 933.0290413929.

Adding to 812242080 its reverse (80242218), we get a palindrome (892484298).

It can be divided in two parts, 8122420 and 80, that added together give a square (8122500 = 2850²).

The spelling of 812242080 in words is "eight hundred twelve million, two hundred forty-two thousand, eighty".