7861480 has 64 divisors (see below), whose sum is σ = 20450880. Its totient is φ = 2688000.

The previous prime is 7861417. The next prime is 7861489. The reversal of 7861480 is 841687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (7861489) 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, 6955 + ... + 8005.

It is an arithmetic number, because the mean of its divisors is an integer number (319545).

Almost surely, 2^7861480 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 7861480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225440).

7861480 is an abundant number, since it is smaller than the sum of its proper divisors (12589400).

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

7861480 is a wasteful number, since it uses less digits than its factorization.

7861480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 7861480 is about 2803.8330906101. The cubic root of 7861480 is about 198.8389394013.

The spelling of 7861480 in words is "seven million, eight hundred sixty-one thousand, four hundred eighty".