807240000 has 420 divisors, whose sum is σ = 3151766112. Its totient is φ = 178560000.

The previous prime is 807239987. The next prime is 807240029. The reversal of 807240000 is 42708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26039985 + ... + 26040015.

Almost surely, 2^807240000 is an apocalyptic number.

807240000 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 807240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575883056).

807240000 is an abundant number, since it is smaller than the sum of its proper divisors (2344526112).

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

807240000 is an equidigital number, since it uses as much as digits as its factorization.

807240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 807240000 is about 28411.9693087262. The cubic root of 807240000 is about 931.1097862558.

Multiplying 807240000 by its sum of digits (21), we get a square (16952040000 = 130200²).

807240000 divided by its sum of digits (21) gives a square (38440000 = 6200²).

Adding to 807240000 its reverse (42708), we get a palindrome (807282708).

The spelling of 807240000 in words is "eight hundred seven million, two hundred forty thousand".