7678540800 has 990 divisors, whose sum is σ = 33968785928. Its totient is φ = 1678786560.

The previous prime is 7678540733. The next prime is 7678540811. The reversal of 7678540800 is 80458767.

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 89 ways as a sum of consecutive naturals, for example, 333849589 + ... + 333849611.

Almost surely, 2^7678540800 is an apocalyptic number.

7678540800 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 7678540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984392964).

7678540800 is an abundant number, since it is smaller than the sum of its proper divisors (26290245128).

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

7678540800 is a wasteful number, since it uses less digits than its factorization.

7678540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

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

The square root of 7678540800 is about 87627.2834224592. The cubic root of 7678540800 is about 1972.8446968046.

The spelling of 7678540800 in words is "seven billion, six hundred seventy-eight million, five hundred forty thousand, eight hundred".