78206976 has 72 divisors (see below), whose sum is σ = 225929340. Its totient is φ = 26062848.

The previous prime is 78206963. The next prime is 78206993. The reversal of 78206976 is 67960287.

It is a happy number.

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

It is a super-2 number, since 2×78206976² = 12232662190129152, 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 5 ways as a sum of consecutive naturals, for example, 16311 + ... + 20553.

Almost surely, 2^78206976 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 78206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112964670).

78206976 is an abundant number, since it is smaller than the sum of its proper divisors (147722364).

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

78206976 is a wasteful number, since it uses less digits than its factorization.

78206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 78206976 is about 8843.4708118476. The cubic root of 78206976 is about 427.6434565229.

The spelling of 78206976 in words is "seventy-eight million, two hundred six thousand, nine hundred seventy-six".