820740080 has 20 divisors (see below), whose sum is σ = 1908220872. Its totient is φ = 328296000.

The previous prime is 820740077. The next prime is 820740103. The reversal of 820740080 is 80047028.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×820740080² = 1347228557836812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5129546 + ... + 5129705.

Almost surely, 2^820740080 is an apocalyptic number.

820740080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820740080 is an abundant number, since it is smaller than the sum of its proper divisors (1087480792).

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

820740080 is a wasteful number, since it uses less digits than its factorization.

820740080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259264 (or 10259258 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 820740080 is about 28648.5615694750. The cubic root of 820740080 is about 936.2716660969.

The spelling of 820740080 in words is "eight hundred twenty million, seven hundred forty thousand, eighty".