7826801920 has 72 divisors (see below), whose sum is σ = 21425894784. Its totient is φ = 2683471872.

The previous prime is 7826801903. The next prime is 7826801933. The reversal of 7826801920 is 291086287.

It is a super-2 number, since 2×7826801920² (a number of 21 digits) 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427804 + ... + 445723.

It is an arithmetic number, because the mean of its divisors is an integer number (297581872).

Almost surely, 2^7826801920 is an apocalyptic number.

7826801920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7826801920 is an abundant number, since it is smaller than the sum of its proper divisors (13599092864).

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

7826801920 is an equidigital number, since it uses as much as digits as its factorization.

7826801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873555 (or 873541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 7826801920 is about 88469.2145325141. The cubic root of 7826801920 is about 1985.4613972685.

The spelling of 7826801920 in words is "seven billion, eight hundred twenty-six million, eight hundred one thousand, nine hundred twenty".