807258870968 has 64 divisors (see below), whose sum is σ = 1713643776000. Its totient is φ = 353143369600.

The previous prime is 807258870967. The next prime is 807258870983. The reversal of 807258870968 is 869078852708.

It is a junction number, because it is equal to n+sod(n) for n = 807258870898 and 807258870907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807258870967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285113 + ... + 1302231.

It is an arithmetic number, because the mean of its divisors is an integer number (26775684000).

Almost surely, 2^807258870968 is an apocalyptic number.

807258870968 is a gapful number since it is divisible by the number (88) 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 807258870968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856821888000).

807258870968 is an abundant number, since it is smaller than the sum of its proper divisors (906384905032).

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

807258870968 is a wasteful number, since it uses less digits than its factorization.

807258870968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017476 (or 1017472 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 68.

The spelling of 807258870968 in words is "eight hundred seven billion, two hundred fifty-eight million, eight hundred seventy thousand, nine hundred sixty-eight".