7826691600 has 540 divisors, whose sum is σ = 34035579396. Its totient is φ = 1650862080.

The previous prime is 7826691563. The next prime is 7826691617. The reversal of 7826691600 is 61966287.

It can be written as a sum of positive squares in 6 ways, for example, as 32626944 + 7794064656 = 5712^2 + 88284^2 .

It is a super-2 number, since 2×7826691600² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2291494 + ... + 2294906.

Almost surely, 2^7826691600 is an apocalyptic number.

7826691600 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 7826691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017789698).

7826691600 is an abundant number, since it is smaller than the sum of its proper divisors (26208887796).

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

7826691600 is a wasteful number, since it uses less digits than its factorization.

7826691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7826691600 is about 88468.5910365933. The cubic root of 7826691600 is about 1985.4520687615.

The spelling of 7826691600 in words is "seven billion, eight hundred twenty-six million, six hundred ninety-one thousand, six hundred".