7768890 has 48 divisors (see below), whose sum is σ = 20753928. Its totient is φ = 2014848.

The previous prime is 7768889. The next prime is 7768907. The reversal of 7768890 is 988677.

It can be written as a sum of positive squares in 4 ways, for example, as 7017201 + 751689 = 2649^2 + 867^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2164 + ... + 4496.

Almost surely, 2^7768890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7768890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376964).

7768890 is an abundant number, since it is smaller than the sum of its proper divisors (12985038).

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

7768890 is a wasteful number, since it uses less digits than its factorization.

7768890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7768890 is about 2787.2728607009. The cubic root of 7768890 is about 198.0552340548.

The spelling of 7768890 in words is "seven million, seven hundred sixty-eight thousand, eight hundred ninety".