78801128 has 64 divisors (see below), whose sum is σ = 177672960. Its totient is φ = 32034816.

The previous prime is 78801127. The next prime is 78801131. The reversal of 78801128 is 82110887.

It is a Cunningham number, because it is equal to 8877²-1.

It is not an unprimeable number, because it can be changed into a prime (78801127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248426 + ... + 248742.

It is an arithmetic number, because the mean of its divisors is an integer number (2776140).

Almost surely, 2^78801128 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 78801128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88836480).

78801128 is an abundant number, since it is smaller than the sum of its proper divisors (98871832).

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

78801128 is a wasteful number, since it uses less digits than its factorization.

78801128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 78801128 is about 8876.9999436747. Note that the first 4 decimals coincide. The cubic root of 78801128 is about 428.7236861342.

The spelling of 78801128 in words is "seventy-eight million, eight hundred one thousand, one hundred twenty-eight".