7896420 has 96 divisors (see below), whose sum is σ = 28089600. Its totient is φ = 1804032.

The previous prime is 7896409. The next prime is 7896431. The reversal of 7896420 is 246987.

7896420 is a `hidden beast` number, since 7 + 8 + 9 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7896409) and next prime (7896431).

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

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2736 + ... + 4824.

It is an arithmetic number, because the mean of its divisors is an integer number (292600).

Almost surely, 2^7896420 is an apocalyptic number.

7896420 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 7896420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044800).

7896420 is an abundant number, since it is smaller than the sum of its proper divisors (20193180).

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

7896420 is a wasteful number, since it uses less digits than its factorization.

7896420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7896420 is about 2810.0569389249. The cubic root of 7896420 is about 199.1330810202.

The spelling of 7896420 in words is "seven million, eight hundred ninety-six thousand, four hundred twenty".