78164244 has 48 divisors (see below), whose sum is σ = 204032640. Its totient is φ = 25876800.

The previous prime is 78164231. The next prime is 78164263. The reversal of 78164244 is 44246187.

78164244 is a `hidden beast` number, since 7 + 8 + 1 + 642 + 4 + 4 = 666.

It is a super-2 number, since 2×78164244² = 12219298080183072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78164199 and 78164208.

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, 13912 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (4250680).

Almost surely, 2^78164244 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 78164244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102016320).

78164244 is an abundant number, since it is smaller than the sum of its proper divisors (125868396).

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

78164244 is a wasteful number, since it uses less digits than its factorization.

78164244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4949 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 78164244 is about 8841.0544619972. The cubic root of 78164244 is about 427.5655547362.

It can be divided in two parts, 781 and 64244, that added together give a square (65025 = 255²).

The spelling of 78164244 in words is "seventy-eight million, one hundred sixty-four thousand, two hundred forty-four".