7600880000 has 320 divisors, whose sum is σ = 22146036000. Its totient is φ = 2596608000.

The previous prime is 7600879999. The next prime is 7600880003. The reversal of 7600880000 is 880067.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7600880003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27439862 + ... + 27440138.

Almost surely, 2^7600880000 is an apocalyptic number.

7600880000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7600880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073018000).

7600880000 is an abundant number, since it is smaller than the sum of its proper divisors (14545156000).

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

7600880000 is an frugal number, since it uses more digits than its factorization.

7600880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 7600880000 is about 87183.0258708655. The cubic root of 7600880000 is about 1966.1710264285.

The spelling of 7600880000 in words is "seven billion, six hundred million, eight hundred eighty thousand".