7881951 has 32 divisors (see below), whose sum is σ = 13248000. Its totient is φ = 4049280.

The previous prime is 7881919. The next prime is 7881959. The reversal of 7881951 is 1591887.

It is not a de Polignac number, because 7881951 - 2⁵ = 7881919 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7881959) by changing a digit.

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, 34305 + ... + 34533.

It is an arithmetic number, because the mean of its divisors is an integer number (414000).

Almost surely, 2^7881951 is an apocalyptic number.

7881951 is a deficient number, since it is larger than the sum of its proper divisors (5366049).

7881951 is a wasteful number, since it uses less digits than its factorization.

7881951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399.

The product of its digits is 20160, while the sum is 39.

The square root of 7881951 is about 2807.4812555029. The cubic root of 7881951 is about 199.0113795333.

Subtracting from 7881951 its reverse (1591887), we obtain a square (6290064 = 2508²).

The spelling of 7881951 in words is "seven million, eight hundred eighty-one thousand, nine hundred fifty-one".