79281216 has 189 divisors, whose sum is σ = 269428341. Its totient is φ = 22224384.

The previous prime is 79281203. The next prime is 79281233. The reversal of 79281216 is 61218297.

The square root of 79281216 is 8904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 22127616 = 7560^2 + 4704^2 .

It is a super-2 number, since 2×79281216² = 12571022420877312, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1495846 + ... + 1495898.

Almost surely, 2^79281216 is an apocalyptic number.

79281216 is the 8904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79281216

79281216 is an abundant number, since it is smaller than the sum of its proper divisors (190147125).

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

79281216 is a wasteful number, since it uses less digits than its factorization.

79281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The cubic root of 79281216 is about 429.5925760501.

Multiplying 79281216 by its sum of digits (36), we get a square (2854123776 = 53424²).

79281216 divided by its sum of digits (36) gives a square (2202256 = 1484²).

It can be divided in two parts, 79281 and 216, that added together give a palindrome (79497).

The spelling of 79281216 in words is "seventy-nine million, two hundred eighty-one thousand, two hundred sixteen".