7691940 has 72 divisors (see below), whose sum is σ = 23569728. Its totient is φ = 2030400.

The previous prime is 7691933. The next prime is 7691951. The reversal of 7691940 is 491967.

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

It is a junction number, because it is equal to n+sod(n) for n = 7691895 and 7691904.

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 23 ways as a sum of consecutive naturals, for example, 27039 + ... + 27321.

Almost surely, 2^7691940 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 7691940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784864).

7691940 is an abundant number, since it is smaller than the sum of its proper divisors (15877788).

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

7691940 is a wasteful number, since it uses less digits than its factorization.

7691940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7691940 is about 2773.4346936606. The cubic root of 7691940 is about 197.3991580480.

The spelling of 7691940 in words is "seven million, six hundred ninety-one thousand, nine hundred forty".