7977606 has 64 divisors (see below), whose sum is σ = 20697600. Its totient is φ = 1990656.

The previous prime is 7977589. The next prime is 7977611. The reversal of 7977606 is 6067797.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9990 + ... + 10758.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^7977606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7977606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348800).

7977606 is an abundant number, since it is smaller than the sum of its proper divisors (12719994).

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

7977606 is a wasteful number, since it uses less digits than its factorization.

7977606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 7977606 is about 2824.4656131736. The cubic root of 7977606 is about 199.8132089331.

The spelling of 7977606 in words is "seven million, nine hundred seventy-seven thousand, six hundred six".