78201088 has 108 divisors (see below), whose sum is σ = 190762432. Its totient is φ = 31334400.

The previous prime is 78201077. The next prime is 78201113. The reversal of 78201088 is 88010287.

It is a super-2 number, since 2×78201088² = 12230820328767488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517813 + ... + 517963.

Almost surely, 2^78201088 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 78201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95381216).

78201088 is an abundant number, since it is smaller than the sum of its proper divisors (112561344).

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

78201088 is a wasteful number, since it uses less digits than its factorization.

78201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 78201088 is about 8843.1379046128. The cubic root of 78201088 is about 427.6327241987.

78201088 divided by its sum of digits (34) gives a palindrome (2300032).

The spelling of 78201088 in words is "seventy-eight million, two hundred one thousand, eighty-eight".