7869312 has 192 divisors, whose sum is σ = 26732160. Its totient is φ = 2280960.

The previous prime is 7869307. The next prime is 7869343. The reversal of 7869312 is 2139687.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 7⁸ + 8⁷ + 6² + 9³ + 3⁸ + 1 + 2⁵ .

Its product of digits (18144) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342133 + ... + 342155.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^7869312 is an apocalyptic number.

7869312 is a gapful number since it is divisible by the number (72) 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 7869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7869312 is an abundant number, since it is smaller than the sum of its proper divisors (18862848).

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

7869312 is a wasteful number, since it uses less digits than its factorization.

7869312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7869312 is about 2805.2294023841. The cubic root of 7869312 is about 198.9049485880.

The spelling of 7869312 in words is "seven million, eight hundred sixty-nine thousand, three hundred twelve".