7906060800 has 720 divisors, whose sum is σ = 32770438272. Its totient is φ = 1798963200.

The previous prime is 7906060793. The next prime is 7906060843. The reversal of 7906060800 is 80606097.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21542217 + ... + 21542583.

Almost surely, 2^7906060800 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 7906060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385219136).

7906060800 is an abundant number, since it is smaller than the sum of its proper divisors (24864377472).

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

7906060800 is a wasteful number, since it uses less digits than its factorization.

7906060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7906060800 is about 88916.0323001426. The cubic root of 7906060800 is about 1992.1408909880.

Adding to 7906060800 its reverse (80606097), we get a palindrome (7986666897).

The spelling of 7906060800 in words is "seven billion, nine hundred six million, sixty thousand, eight hundred".