7892289504 has 144 divisors (see below), whose sum is σ = 25274156544. Its totient is φ = 2314425600.

The previous prime is 7892289499. The next prime is 7892289527. The reversal of 7892289504 is 4059822987.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7892289504² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58027 + ... + 138389.

It is an arithmetic number, because the mean of its divisors is an integer number (175514976).

Almost surely, 2^7892289504 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 7892289504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637078272).

7892289504 is an abundant number, since it is smaller than the sum of its proper divisors (17381867040).

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

7892289504 is a wasteful number, since it uses less digits than its factorization.

7892289504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80421 (or 80410 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7892289504 is about 88838.5586555748. The cubic root of 7892289504 is about 1990.9835381249.

The spelling of 7892289504 in words is "seven billion, eight hundred ninety-two million, two hundred eighty-nine thousand, five hundred four".