7677948 has 48 divisors (see below), whose sum is σ = 19311264. Its totient is φ = 2365440.

The previous prime is 7677937. The next prime is 7677959. The reversal of 7677948 is 8497767.

It is an interprime number because it is at equal distance from previous prime (7677937) and next prime (7677959).

It is a junction number, because it is equal to n+sod(n) for n = 7677897 and 7677906.

It is a congruent number.

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, 12136 + ... + 12752.

It is an arithmetic number, because the mean of its divisors is an integer number (402318).

Almost surely, 2^7677948 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 7677948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9655632).

7677948 is an abundant number, since it is smaller than the sum of its proper divisors (11633316).

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

7677948 is a wasteful number, since it uses less digits than its factorization.

7677948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The square root of 7677948 is about 2770.9110415169. The cubic root of 7677948 is about 197.2793926202.

The spelling of 7677948 in words is "seven million, six hundred seventy-seven thousand, nine hundred forty-eight".