7688228400 has 720 divisors, whose sum is σ = 30558877440. Its totient is φ = 1847577600.

The previous prime is 7688228329. The next prime is 7688228417. The reversal of 7688228400 is 48228867.

It is a happy number.

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

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 143 ways as a sum of consecutive naturals, for example, 42476310 + ... + 42476490.

Almost surely, 2^7688228400 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 7688228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279438720).

7688228400 is an abundant number, since it is smaller than the sum of its proper divisors (22870649040).

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

7688228400 is a wasteful number, since it uses less digits than its factorization.

7688228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7688228400 is about 87682.5433025297. The cubic root of 7688228400 is about 1973.6740253116.

The spelling of 7688228400 in words is "seven billion, six hundred eighty-eight million, two hundred twenty-eight thousand, four hundred".