7628860800 has 768 divisors, whose sum is σ = 31872960000. Its totient is φ = 1763942400.

The previous prime is 7628860769. The next prime is 7628860831. The reversal of 7628860800 is 80688267.

It is an interprime number because it is at equal distance from previous prime (7628860769) and next prime (7628860831).

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 95 ways as a sum of consecutive naturals, for example, 21859026 + ... + 21859374.

It is an arithmetic number, because the mean of its divisors is an integer number (41501250).

Almost surely, 2^7628860800 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 7628860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

7628860800 is an abundant number, since it is smaller than the sum of its proper divisors (24244099200).

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

7628860800 is a wasteful number, since it uses less digits than its factorization.

7628860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7628860800 is about 87343.3500616962. The cubic root of 7628860800 is about 1968.5807328396.

The spelling of 7628860800 in words is "seven billion, six hundred twenty-eight million, eight hundred sixty thousand, eight hundred".