7814314080 has 96 divisors (see below), whose sum is σ = 27350114400. Its totient is φ = 2083815936.

The previous prime is 7814314069. The next prime is 7814314087. The reversal of 7814314080 is 804134187.

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

It is a super-2 number, since 2×7814314080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7814314087) 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, 900115 + ... + 908754.

It is an arithmetic number, because the mean of its divisors is an integer number (284897025).

Almost surely, 2^7814314080 is an apocalyptic number.

It is an amenable number.

7814314080 is an abundant number, since it is smaller than the sum of its proper divisors (19535800320).

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

7814314080 is a wasteful number, since it uses less digits than its factorization.

7814314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808893 (or 1808879 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7814314080 is about 88398.6090388305. The cubic root of 7814314080 is about 1984.4048856077.

The spelling of 7814314080 in words is "seven billion, eight hundred fourteen million, three hundred fourteen thousand, eighty".