8400807 has 16 divisors (see below), whose sum is σ = 12876000. Its totient is φ = 5406912.

The previous prime is 8400797. The next prime is 8400811. The reversal of 8400807 is 7080048.

It is a happy number.

It is not a de Polignac number, because 8400807 - 2²⁰ = 7352231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

8400807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8401807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4582 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (804750).

Almost surely, 2^8400807 is an apocalyptic number.

8400807 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

8400807 is a deficient number, since it is larger than the sum of its proper divisors (4475193).

8400807 is a wasteful number, since it uses less digits than its factorization.

8400807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8400807 is about 2898.4145666209. The cubic root of 8400807 is about 203.2857809312.

The spelling of 8400807 in words is "eight million, four hundred thousand, eight hundred seven".