7805952 has 198 divisors, whose sum is σ = 28314104. Its totient is φ = 2027520.

The previous prime is 7805939. The next prime is 7805957. The reversal of 7805952 is 2595087.

It is a tau number, because it is divible by the number of its divisors (198).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7805957) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 709627 + ... + 709637.

Almost surely, 2^7805952 is an apocalyptic number.

7805952 is a gapful number since it is divisible by the number (72) 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 7805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157052).

7805952 is an abundant number, since it is smaller than the sum of its proper divisors (20508152).

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

7805952 is a wasteful number, since it uses less digits than its factorization.

7805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 7805952 is about 2793.9133844842. The cubic root of 7805952 is about 198.3696797231.

Multiplying 7805952 by its product of nonzero digits (25200), we get a square (196709990400 = 443520²).

The spelling of 7805952 in words is "seven million, eight hundred five thousand, nine hundred fifty-two".