7681905 has 64 divisors (see below), whose sum is σ = 17049600. Its totient is φ = 3188160.

The previous prime is 7681889. The next prime is 7681937. The reversal of 7681905 is 5091867.

It is not a de Polignac number, because 7681905 - 2⁴ = 7681889 is a prime.

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

7681905 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7681905.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10026 + ... + 10764.

It is an arithmetic number, because the mean of its divisors is an integer number (266400).

Almost surely, 2^7681905 is an apocalyptic number.

It is an amenable number.

7681905 is an abundant number, since it is smaller than the sum of its proper divisors (9367695).

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

7681905 is a wasteful number, since it uses less digits than its factorization.

7681905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7681905 is about 2771.6249746313. The cubic root of 7681905 is about 197.3132775631.

The spelling of 7681905 in words is "seven million, six hundred eighty-one thousand, nine hundred five".