7677740 has 48 divisors (see below), whose sum is σ = 18591552. Its totient is φ = 2608896.

The previous prime is 7677713. The next prime is 7677751. The reversal of 7677740 is 477767.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7677694 and 7677703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24062 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (387324).

Almost surely, 2^7677740 is an apocalyptic number.

7677740 is a gapful number since it is divisible by the number (70) 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 7677740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295776).

7677740 is an abundant number, since it is smaller than the sum of its proper divisors (10913812).

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

7677740 is a wasteful number, since it uses less digits than its factorization.

7677740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 38.

The square root of 7677740 is about 2770.8735084807. The cubic root of 7677740 is about 197.2776111336.

The spelling of 7677740 in words is "seven million, six hundred seventy-seven thousand, seven hundred forty".