7906828240 has 40 divisors (see below), whose sum is σ = 18395998920. Its totient is φ = 3160559616.

The previous prime is 7906828219. The next prime is 7906828247. The reversal of 7906828240 is 428286097.

It can be written as a sum of positive squares in 4 ways, for example, as 1492740496 + 6414087744 = 38636^2 + 80088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7906828240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7906828247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85932 + ... + 152308.

It is an arithmetic number, because the mean of its divisors is an integer number (459899973).

Almost surely, 2^7906828240 is an apocalyptic number.

It is an amenable number.

7906828240 is an abundant number, since it is smaller than the sum of its proper divisors (10489170680).

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

7906828240 is a wasteful number, since it uses less digits than its factorization.

7906828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67879 (or 67873 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 7906828240 is about 88920.3477276152. The cubic root of 7906828240 is about 1992.2053478302.

The spelling of 7906828240 in words is "seven billion, nine hundred six million, eight hundred twenty-eight thousand, two hundred forty".