7812954240 has 512 divisors, whose sum is σ = 31033981440. Its totient is φ = 1627914240.

The previous prime is 7812954229. The next prime is 7812954271. The reversal of 7812954240 is 424592187.

It is a super-2 number, since 2×7812954240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7812954192 and 7812954201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16947610 + ... + 16948070.

It is an arithmetic number, because the mean of its divisors is an integer number (60613245).

Almost surely, 2^7812954240 is an apocalyptic number.

7812954240 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 7812954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516990720).

7812954240 is an abundant number, since it is smaller than the sum of its proper divisors (23221027200).

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

7812954240 is a wasteful number, since it uses less digits than its factorization.

7812954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 7812954240 is about 88390.9171804434. The cubic root of 7812954240 is about 1984.2897708045.

The spelling of 7812954240 in words is "seven billion, eight hundred twelve million, nine hundred fifty-four thousand, two hundred forty".