7826145400 has 96 divisors (see below), whose sum is σ = 18513100800. Its totient is φ = 3076169600.

The previous prime is 7826145377. The next prime is 7826145401. The reversal of 7826145400 is 45416287.

It is a super-2 number, since 2×7826145400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7826145400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7826145401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5437881 + ... + 5439319.

It is an arithmetic number, because the mean of its divisors is an integer number (192844800).

Almost surely, 2^7826145400 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 7826145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256550400).

7826145400 is an abundant number, since it is smaller than the sum of its proper divisors (10686955400).

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

7826145400 is a wasteful number, since it uses less digits than its factorization.

7826145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 7826145400 is about 88465.5040114507. The cubic root of 7826145400 is about 1985.4058815514.

The spelling of 7826145400 in words is "seven billion, eight hundred twenty-six million, one hundred forty-five thousand, four hundred".