807123416 has 64 divisors (see below), whose sum is σ = 1788842880. Its totient is φ = 337236480.

The previous prime is 807123403. The next prime is 807123419. The reversal of 807123416 is 614321708.

807123416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807123419) 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, 58055 + ... + 70601.

It is an arithmetic number, because the mean of its divisors is an integer number (27950670).

Almost surely, 2^807123416 is an apocalyptic number.

807123416 is a gapful number since it is divisible by the number (86) 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 807123416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894421440).

807123416 is an abundant number, since it is smaller than the sum of its proper divisors (981719464).

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

807123416 is a wasteful number, since it uses less digits than its factorization.

807123416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 807123416 is about 28409.9175641183. The cubic root of 807123416 is about 931.0649595502.

The spelling of 807123416 in words is "eight hundred seven million, one hundred twenty-three thousand, four hundred sixteen".