79284940 has 72 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 25579008.

The previous prime is 79284937. The next prime is 79284941. The reversal of 79284940 is 4948297.

It is a super-3 number, since 3×79284940³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79284941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14281 + ... + 19039.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^79284940 is an apocalyptic number.

79284940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

79284940 is an abundant number, since it is smaller than the sum of its proper divisors (125832980).

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

79284940 is a wasteful number, since it uses less digits than its factorization.

79284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 79284940 is about 8904.2091170412. The cubic root of 79284940 is about 429.5993022239.

The spelling of 79284940 in words is "seventy-nine million, two hundred eighty-four thousand, nine hundred forty".