7838740800 has 1008 divisors, whose sum is σ = 33430610304. Its totient is φ = 1720320000.

The previous prime is 7838740781. The next prime is 7838740807. The reversal of 7838740800 is 80478387.

It is a super-2 number, since 2×7838740800² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838740807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110404765 + ... + 110404835.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^7838740800 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 7838740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16715305152).

7838740800 is an abundant number, since it is smaller than the sum of its proper divisors (25591869504).

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

7838740800 is a wasteful number, since it uses less digits than its factorization.

7838740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7838740800 is about 88536.6635919832. The cubic root of 7838740800 is about 1986.4704148787.

The spelling of 7838740800 in words is "seven billion, eight hundred thirty-eight million, seven hundred forty thousand, eight hundred".