78098688 has 72 divisors (see below), whose sum is σ = 230972000. Its totient is φ = 26030592.

The previous prime is 78098659. The next prime is 78098717. The reversal of 78098688 is 88689087.

It is an interprime number because it is at equal distance from previous prime (78098659) and next prime (78098717).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1263 + ... + 12561.

Almost surely, 2^78098688 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 78098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115486000).

78098688 is an abundant number, since it is smaller than the sum of its proper divisors (152873312).

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

78098688 is a wasteful number, since it uses less digits than its factorization.

78098688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 78098688 is about 8837.3462079971. The cubic root of 78098688 is about 427.4459888674.

The spelling of 78098688 in words is "seventy-eight million, ninety-eight thousand, six hundred eighty-eight".