7838696400 has 120 divisors (see below), whose sum is σ = 25250928480. Its totient is φ = 2078584320.

The previous prime is 7838696377. The next prime is 7838696417. The reversal of 7838696400 is 46968387.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7838696400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196554 + ... + 233046.

It is an arithmetic number, because the mean of its divisors is an integer number (210424404).

Almost surely, 2^7838696400 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 7838696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625464240).

7838696400 is an abundant number, since it is smaller than the sum of its proper divisors (17412232080).

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

7838696400 is a wasteful number, since it uses less digits than its factorization.

7838696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36693 (or 36682 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 7838696400 is about 88536.4128480480. The cubic root of 7838696400 is about 1986.4666642996.

The spelling of 7838696400 in words is "seven billion, eight hundred thirty-eight million, six hundred ninety-six thousand, four hundred".