78201090 has 144 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 18406080.

The previous prime is 78201077. The next prime is 78201113. The reversal of 78201090 is 9010287.

It is a super-2 number, since 2×78201090² = 12230820954376200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468187 + ... + 468353.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 2^78201090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78201090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

78201090 is an abundant number, since it is smaller than the sum of its proper divisors (151852734).

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

78201090 is a wasteful number, since it uses less digits than its factorization.

78201090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78201090 is about 8843.1380176948. The cubic root of 78201090 is about 427.6327278443.

The spelling of 78201090 in words is "seventy-eight million, two hundred one thousand, ninety".