806790481920 has 1344 divisors, whose sum is σ = 3134946447360. Its totient is φ = 198651543552.

The previous prime is 806790481909. The next prime is 806790482011. The reversal of 806790481920 is 29184097608.

806790481920 is a `hidden beast` number, since 8 + 0 + 6 + 79 + 0 + 481 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6352680897 + ... + 6352681023.

It is an arithmetic number, because the mean of its divisors is an integer number (2332549440).

Almost surely, 2^806790481920 is an apocalyptic number.

806790481920 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 806790481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567473223680).

806790481920 is an abundant number, since it is smaller than the sum of its proper divisors (2328155965440).

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

806790481920 is a wasteful number, since it uses less digits than its factorization.

806790481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 806790481920 in words is "eight hundred six billion, seven hundred ninety million, four hundred eighty-one thousand, nine hundred twenty".