807540 has 48 divisors (see below), whose sum is σ = 2321088. Its totient is φ = 209664.

The previous prime is 807539. The next prime is 807559. The reversal of 807540 is 45708.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 807540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 2736.

It is an arithmetic number, because the mean of its divisors is an integer number (48356).

2⁸⁰⁷⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160544).

807540 is an abundant number, since it is smaller than the sum of its proper divisors (1513548).

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

807540 is a wasteful number, since it uses less digits than its factorization.

807540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 807540 is about 898.6322941003. The cubic root of 807540 is about 93.1225116822.

The spelling of 807540 in words is "eight hundred seven thousand, five hundred forty".