805616824320 has 3120 divisors, whose sum is σ = 3953628996768. Its totient is φ = 154581073920.

The previous prime is 805616824319. The next prime is 805616824349. The reversal of 805616824320 is 23428616508.

805616824320 is a `hidden beast` number, since 8 + 0 + 5 + 616 + 8 + 2 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15200317414 + ... + 15200317466.

Almost surely, 2^805616824320 is an apocalyptic number.

805616824320 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 805616824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976814498384).

805616824320 is an abundant number, since it is smaller than the sum of its proper divisors (3148012172448).

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

805616824320 is a wasteful number, since it uses less digits than its factorization.

805616824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 805616824320 in words is "eight hundred five billion, six hundred sixteen million, eight hundred twenty-four thousand, three hundred twenty".