7826918400 has 792 divisors, whose sum is σ = 33578398464. Its totient is φ = 1703116800.

The previous prime is 7826918389. The next prime is 7826918401. The reversal of 7826918400 is 48196287.

It is a super-2 number, since 2×7826918400² (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 (7826918401) 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 71 ways as a sum of consecutive naturals, for example, 37094295 + ... + 37094505.

Almost surely, 2^7826918400 is an apocalyptic number.

7826918400 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 7826918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16789199232).

7826918400 is an abundant number, since it is smaller than the sum of its proper divisors (25751480064).

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

7826918400 is a wasteful number, since it uses less digits than its factorization.

7826918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

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

The square root of 7826918400 is about 88469.8728381589. The cubic root of 7826918400 is about 1985.4712465615.

It can be divided in two parts, 78269 and 18400, that added together give a palindrome (96669).

The spelling of 7826918400 in words is "seven billion, eight hundred twenty-six million, nine hundred eighteen thousand, four hundred".