7806813696 has 400 divisors, whose sum is σ = 25816182480. Its totient is φ = 2329067520.

The previous prime is 7806813691. The next prime is 7806813697. The reversal of 7806813696 is 6963186087.

It is a happy number.

It is a super-3 number, since 3×7806813696³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7806813691) 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 39 ways as a sum of consecutive naturals, for example, 49724850 + ... + 49725006.

Almost surely, 2^7806813696 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 7806813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908091240).

7806813696 is an abundant number, since it is smaller than the sum of its proper divisors (18009368784).

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

7806813696 is a wasteful number, since it uses less digits than its factorization.

7806813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7806813696 is about 88356.1752001523. The cubic root of 7806813696 is about 1983.7697877179.

The spelling of 7806813696 in words is "seven billion, eight hundred six million, eight hundred thirteen thousand, six hundred ninety-six".