7661456 has 40 divisors (see below), whose sum is σ = 16391808. Its totient is φ = 3440000.

The previous prime is 7661411. The next prime is 7661471. The reversal of 7661456 is 6541667.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17561 + ... + 17991.

Almost surely, 2^7661456 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 7661456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195904).

7661456 is an abundant number, since it is smaller than the sum of its proper divisors (8730352).

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

7661456 is a wasteful number, since it uses less digits than its factorization.

7661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 7661456 is about 2767.9335252133. The cubic root of 7661456 is about 197.1380413102.

It can be divided in two parts, 766 and 1456, that added together give a palindrome (2222).

The spelling of 7661456 in words is "seven million, six hundred sixty-one thousand, four hundred fifty-six".