807072093 has 60 divisors (see below), whose sum is σ = 1337292000. Its totient is φ = 484057728.

The previous prime is 807072043. The next prime is 807072131. The reversal of 807072093 is 390270708.

807072093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 807072093 - 2¹⁷ = 806941021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807072043) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 537658 + ... + 539156.

It is an arithmetic number, because the mean of its divisors is an integer number (22288200).

Almost surely, 2^807072093 is an apocalyptic number.

It is an amenable number.

807072093 is a deficient number, since it is larger than the sum of its proper divisors (530219907).

807072093 is a wasteful number, since it uses less digits than its factorization.

807072093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 807072093 is about 28409.0142912421. The cubic root of 807072093 is about 931.0452244189.

The spelling of 807072093 in words is "eight hundred seven million, seventy-two thousand, ninety-three".