7661280 has 96 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 1856000.

The previous prime is 7661279. The next prime is 7661281. The reversal of 7661280 is 821667.

It is a happy number.

7661280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7661279) and next prime (7661281).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7661280² = 117390422476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4555 + ... + 6005.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 2^7661280 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 7661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

7661280 is an abundant number, since it is smaller than the sum of its proper divisors (18683808).

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

7661280 is a wasteful number, since it uses less digits than its factorization.

7661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7661280 is about 2767.9017323597. The cubic root of 7661280 is about 197.1365317381.

The spelling of 7661280 in words is "seven million, six hundred sixty-one thousand, two hundred eighty".