807243920 has 80 divisors (see below), whose sum is σ = 2150957568. Its totient is φ = 275996160.

The previous prime is 807243907. The next prime is 807243967. The reversal of 807243920 is 29342708.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×807243920³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 220505 + ... + 224135.

Almost surely, 2^807243920 is an apocalyptic number.

807243920 is a gapful number since it is divisible by the number (80) 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 807243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075478784).

807243920 is an abundant number, since it is smaller than the sum of its proper divisors (1343713648).

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

807243920 is a wasteful number, since it uses less digits than its factorization.

807243920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 807243920 is about 28412.0382936529. The cubic root of 807243920 is about 931.1112934261. Note that the first 3 decimals are identical.

The spelling of 807243920 in words is "eight hundred seven million, two hundred forty-three thousand, nine hundred twenty".