7814805480 has 320 divisors, whose sum is σ = 28346844240. Its totient is φ = 1923637248.

The previous prime is 7814805461. The next prime is 7814805499. The reversal of 7814805480 is 845084187.

It is an interprime number because it is at equal distance from previous prime (7814805461) and next prime (7814805499).

It can be written as a sum of positive squares in 8 ways, for example, as 2879180964 + 4935624516 = 53658^2 + 70254^2 .

It is a super-2 number, since 2×7814805480² (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2917902 + ... + 2920578.

Almost surely, 2^7814805480 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 7814805480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173422120).

7814805480 is an abundant number, since it is smaller than the sum of its proper divisors (20532038760).

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

7814805480 is a wasteful number, since it uses less digits than its factorization.

7814805480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 7814805480 is about 88401.3884506346. The cubic root of 7814805480 is about 1984.4464809037.

The spelling of 7814805480 in words is "seven billion, eight hundred fourteen million, eight hundred five thousand, four hundred eighty".