7826420720 has 80 divisors (see below), whose sum is σ = 19305431040. Its totient is φ = 2942376192.

The previous prime is 7826420681. The next prime is 7826420729. The reversal of 7826420720 is 270246287.

It is a happy number.

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

It is a super-2 number, since 2×7826420720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7826420729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172769 + ... + 213311.

It is an arithmetic number, because the mean of its divisors is an integer number (241317888).

Almost surely, 2^7826420720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7826420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652715520).

7826420720 is an abundant number, since it is smaller than the sum of its proper divisors (11479010320).

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

7826420720 is a wasteful number, since it uses less digits than its factorization.

7826420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40702 (or 40696 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 7826420720 is about 88467.0600845309. The cubic root of 7826420720 is about 1985.4291631504.

The spelling of 7826420720 in words is "seven billion, eight hundred twenty-six million, four hundred twenty thousand, seven hundred twenty".