7892640 has 288 divisors, whose sum is σ = 33022080. Its totient is φ = 1741824.

The previous prime is 7892627. The next prime is 7892659. The reversal of 7892640 is 462987.

7892640 is a `hidden beast` number, since 7 + 8 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 3 and base 6.

It is a junction number, because it is equal to n+sod(n) for n = 7892595 and 7892604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272146 + ... + 272174.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^7892640 is an apocalyptic number.

7892640 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 7892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

7892640 is an abundant number, since it is smaller than the sum of its proper divisors (25129440).

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

7892640 is a wasteful number, since it uses less digits than its factorization.

7892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

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

The square root of 7892640 is about 2809.3842741782. The cubic root of 7892640 is about 199.1013010833.

The spelling of 7892640 in words is "seven million, eight hundred ninety-two thousand, six hundred forty".