7890432 has 80 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 2385920.

The previous prime is 7890427. The next prime is 7890437. The reversal of 7890432 is 2340987.

It is an interprime number because it is at equal distance from previous prime (7890427) and next prime (7890437).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7890393 and 7890402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16663 + ... + 17129.

Almost surely, 2^7890432 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 7890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

7890432 is an abundant number, since it is smaller than the sum of its proper divisors (15090240).

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

7890432 is a wasteful number, since it uses less digits than its factorization.

7890432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7890432 is about 2808.9912780213. The cubic root of 7890432 is about 199.0827328698.

The spelling of 7890432 in words is "seven million, eight hundred ninety thousand, four hundred thirty-two".