7812304640 has 144 divisors (see below), whose sum is σ = 21510074880. Its totient is φ = 2662993920.

The previous prime is 7812304601. The next prime is 7812304673. The reversal of 7812304640 is 464032187.

It is a super-2 number, since 2×7812304640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7812304640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601405 + ... + 1606275.

It is an arithmetic number, because the mean of its divisors is an integer number (149375520).

Almost surely, 2^7812304640 is an apocalyptic number.

7812304640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7812304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755037440).

7812304640 is an abundant number, since it is smaller than the sum of its proper divisors (13697770240).

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

7812304640 is a wasteful number, since it uses less digits than its factorization.

7812304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7812304640 is about 88387.2425183635. The cubic root of 7812304640 is about 1984.2347753733.

The spelling of 7812304640 in words is "seven billion, eight hundred twelve million, three hundred four thousand, six hundred forty".