7875273600 has 480 divisors, whose sum is σ = 30347990640. Its totient is φ = 2007244800.

The previous prime is 7875273587. The next prime is 7875273617. The reversal of 7875273600 is 63725787.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5960940 + ... + 5962260.

Almost surely, 2^7875273600 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 7875273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173995320).

7875273600 is an abundant number, since it is smaller than the sum of its proper divisors (22472717040).

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

7875273600 is a wasteful number, since it uses less digits than its factorization.

7875273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7875273600 is about 88742.7382944655. The cubic root of 7875273600 is about 1989.5516443174.

The spelling of 7875273600 in words is "seven billion, eight hundred seventy-five million, two hundred seventy-three thousand, six hundred".