7820437520 has 160 divisors (see below), whose sum is σ = 21537669120. Its totient is φ = 2585157120.

The previous prime is 7820437501. The next prime is 7820437531. The reversal of 7820437520 is 257340287.

It is a super-2 number, since 2×7820437520² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1900265 + ... + 1904375.

It is an arithmetic number, because the mean of its divisors is an integer number (134610432).

Almost surely, 2^7820437520 is an apocalyptic number.

7820437520 is a gapful number since it is divisible by the number (70) 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 7820437520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768834560).

7820437520 is an abundant number, since it is smaller than the sum of its proper divisors (13717231600).

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

7820437520 is a wasteful number, since it uses less digits than its factorization.

7820437520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 7820437520 is about 88433.2376428682. The cubic root of 7820437520 is about 1984.9230889754.

The spelling of 7820437520 in words is "seven billion, eight hundred twenty million, four hundred thirty-seven thousand, five hundred twenty".