807893046 has 48 divisors (see below), whose sum is σ = 1817562240. Its totient is φ = 259073280.

The previous prime is 807893029. The next prime is 807893063. The reversal of 807893046 is 640398708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (807893029) and next prime (807893063).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 807892992 and 807893010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92350 + ... + 100718.

It is an arithmetic number, because the mean of its divisors is an integer number (37865880).

Almost surely, 2^807893046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807893046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908781120).

807893046 is an abundant number, since it is smaller than the sum of its proper divisors (1009669194).

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

807893046 is a wasteful number, since it uses less digits than its factorization.

807893046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 807893046 is about 28423.4594305479. The cubic root of 807893046 is about 931.3608035597.

It can be divided in two parts, 8078 and 93046, that added together give a square (101124 = 318²).

The spelling of 807893046 in words is "eight hundred seven million, eight hundred ninety-three thousand, forty-six".