78964020 has 72 divisors (see below), whose sum is σ = 240871176. Its totient is φ = 20938752.

The previous prime is 78964003. The next prime is 78964033. The reversal of 78964020 is 2046987.

78964020 is a `hidden beast` number, since 7 + 8 + 9 + 640 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 66389904 = 3546^2 + 8148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33604 + ... + 35876.

It is an arithmetic number, because the mean of its divisors is an integer number (3345433).

Almost surely, 2^78964020 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 78964020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120435588).

78964020 is an abundant number, since it is smaller than the sum of its proper divisors (161907156).

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

78964020 is a wasteful number, since it uses less digits than its factorization.

78964020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78964020 is about 8886.1701536714. The cubic root of 78964020 is about 429.0188916974.

The spelling of 78964020 in words is "seventy-eight million, nine hundred sixty-four thousand, twenty".