806525379072 has 1280 divisors, whose sum is σ = 2976723763200. Its totient is φ = 210691031040.

The previous prime is 806525379047. The next prime is 806525379119. The reversal of 806525379072 is 270973525608.

806525379072 is a `hidden beast` number, since 80 + 6 + 525 + 37 + 9 + 0 + 7 + 2 = 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 127 ways as a sum of consecutive naturals, for example, 6350593473 + ... + 6350593599.

It is an arithmetic number, because the mean of its divisors is an integer number (2325565440).

Almost surely, 2^806525379072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806525379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488361881600).

806525379072 is an abundant number, since it is smaller than the sum of its proper divisors (2170198384128).

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

806525379072 is a wasteful number, since it uses less digits than its factorization.

806525379072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 806525379072 in words is "eight hundred six billion, five hundred twenty-five million, three hundred seventy-nine thousand, seventy-two".