812676480 has 512 divisors, whose sum is σ = 3384115200. Its totient is φ = 160849920.

The previous prime is 812676467. The next prime is 812676497. The reversal of 812676480 is 84676218.

It is a super-2 number, since 2×812676480² = 1320886122290380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3400201 + ... + 3400439.

It is an arithmetic number, because the mean of its divisors is an integer number (6609600).

Almost surely, 2^812676480 is an apocalyptic number.

812676480 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 812676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692057600).

812676480 is an abundant number, since it is smaller than the sum of its proper divisors (2571438720).

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

812676480 is a wasteful number, since it uses less digits than its factorization.

812676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 812676480 is about 28507.4811233823. The cubic root of 812676480 is about 933.1953446794.

The spelling of 812676480 in words is "eight hundred twelve million, six hundred seventy-six thousand, four hundred eighty".