78133660 has 48 divisors (see below), whose sum is σ = 182401632. Its totient is φ = 27872000.

The previous prime is 78133651. The next prime is 78133673. The reversal of 78133660 is 6633187.

It is a super-2 number, since 2×78133660² = 12209737649991200, 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 15 ways as a sum of consecutive naturals, for example, 8310 + ... + 15010.

It is an arithmetic number, because the mean of its divisors is an integer number (3800034).

Almost surely, 2^78133660 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 78133660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91200816).

78133660 is an abundant number, since it is smaller than the sum of its proper divisors (104267972).

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

78133660 is a wasteful number, since it uses less digits than its factorization.

78133660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 78133660 is about 8839.3246348349. The cubic root of 78133660 is about 427.5097817034.

The spelling of 78133660 in words is "seventy-eight million, one hundred thirty-three thousand, six hundred sixty".