7812694080 has 448 divisors, whose sum is σ = 29885518080. Its totient is φ = 1913683968.

The previous prime is 7812694079. The next prime is 7812694081. The reversal of 7812694080 is 804962187.

It is an interprime number because it is at equal distance from previous prime (7812694079) and next prime (7812694081).

It is a super-2 number, since 2×7812694080² (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 not an unprimeable number, because it can be changed into a prime (7812694081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6315222 + ... + 6316458.

Almost surely, 2^7812694080 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 7812694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942759040).

7812694080 is an abundant number, since it is smaller than the sum of its proper divisors (22072824000).

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

7812694080 is a wasteful number, since it uses less digits than its factorization.

7812694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7812694080 is about 88389.4455237728. The cubic root of 7812694080 is about 1984.2677459067.

The spelling of 7812694080 in words is "seven billion, eight hundred twelve million, six hundred ninety-four thousand, eighty".