7768252800 has 1152 divisors, whose sum is σ = 35989125120. Its totient is φ = 1548288000.

The previous prime is 7768252753. The next prime is 7768252813. The reversal of 7768252800 is 82528677.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 68745544 + ... + 68745656.

It is an arithmetic number, because the mean of its divisors is an integer number (31240560).

Almost surely, 2^7768252800 is an apocalyptic number.

7768252800 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 7768252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994562560).

7768252800 is an abundant number, since it is smaller than the sum of its proper divisors (28220872320).

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

7768252800 is a wasteful number, since it uses less digits than its factorization.

7768252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7768252800 is about 88137.6922774814. The cubic root of 7768252800 is about 1980.4981911371.

The spelling of 7768252800 in words is "seven billion, seven hundred sixty-eight million, two hundred fifty-two thousand, eight hundred".