7077728 has 48 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 2871936.

The previous prime is 7077727. The next prime is 7077731. The reversal of 7077728 is 8277707.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 7077691 and 7077700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7077727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425 + ... + 5087.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 2^7077728 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 7077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

7077728 is an abundant number, since it is smaller than the sum of its proper divisors (9695392).

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

7077728 is a wasteful number, since it uses less digits than its factorization.

7077728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 38.

The square root of 7077728 is about 2660.3999699293. The cubic root of 7077728 is about 191.9985532298.

The spelling of 7077728 in words is "seven million, seventy-seven thousand, seven hundred twenty-eight".