7817952 has 96 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2419200.

The previous prime is 7817951. The next prime is 7817963. The reversal of 7817952 is 2597187.

7817952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7817952² = 122240746948608, which contains 22 as substring.

Its product of digits (35280) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 7817952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7817951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110077 + ... + 110147.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^7817952 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 7817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

7817952 is an abundant number, since it is smaller than the sum of its proper divisors (14245152).

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

7817952 is a wasteful number, since it uses less digits than its factorization.

7817952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 7817952 is about 2796.0600851913. The cubic root of 7817952 is about 198.4712781526.

The spelling of 7817952 in words is "seven million, eight hundred seventeen thousand, nine hundred fifty-two".