820080240 has 80 divisors (see below), whose sum is σ = 2905433088. Its totient is φ = 187446528.

The previous prime is 820080229. The next prime is 820080251. The reversal of 820080240 is 42080028.

820080240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820080229) and next prime (820080251).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 820080240.

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, 242392 + ... + 245751.

Almost surely, 2^820080240 is an apocalyptic number.

820080240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820080240 is an abundant number, since it is smaller than the sum of its proper divisors (2085352848).

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

820080240 is a wasteful number, since it uses less digits than its factorization.

820080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488166 (or 488160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 820080240 is about 28637.0431434532. The cubic root of 820080240 is about 936.0206913389.

The spelling of 820080240 in words is "eight hundred twenty million, eighty thousand, two hundred forty".