7798478688 has 768 divisors, whose sum is σ = 31213486080. Its totient is φ = 1828915200.

The previous prime is 7798478687. The next prime is 7798478729. The reversal of 7798478688 is 8868748977.

It is a happy number.

7798478688 is a `hidden beast` number, since 7 + 7 + 98 + 478 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7798478683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61405281 + ... + 61405407.

It is an arithmetic number, because the mean of its divisors is an integer number (40642560).

Almost surely, 2^7798478688 is an apocalyptic number.

7798478688 is a gapful number since it is divisible by the number (78) 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 7798478688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606743040).

7798478688 is an abundant number, since it is smaller than the sum of its proper divisors (23415007392).

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

7798478688 is a wasteful number, since it uses less digits than its factorization.

7798478688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The square root of 7798478688 is about 88308.9955100838. The cubic root of 7798478688 is about 1983.0635403435.

The spelling of 7798478688 in words is "seven billion, seven hundred ninety-eight million, four hundred seventy-eight thousand, six hundred eighty-eight".