7077952 has 84 divisors (see below), whose sum is σ = 17055084. Its totient is φ = 2903040.

The previous prime is 7077923. The next prime is 7077971. The reversal of 7077952 is 2597707.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 4064256 = 1736^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116002 + ... + 116062.

Almost surely, 2^7077952 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 7077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527542).

7077952 is an abundant number, since it is smaller than the sum of its proper divisors (9977132).

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

7077952 is a wasteful number, since it uses less digits than its factorization.

7077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 37.

The square root of 7077952 is about 2660.4420685292. The cubic root of 7077952 is about 192.0005787020. Note that the first 3 decimals are identical.

The spelling of 7077952 in words is "seven million, seventy-seven thousand, nine hundred fifty-two".