7794868400 has 120 divisors (see below), whose sum is σ = 20599888368. Its totient is φ = 2834497600.

The previous prime is 7794868379. The next prime is 7794868421. The reversal of 7794868400 is 48684977.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (7794868379) and next prime (7794868421).

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, 708624395 + ... + 708624405.

Almost surely, 2^7794868400 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 7794868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299944184).

7794868400 is an abundant number, since it is smaller than the sum of its proper divisors (12805019968).

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

7794868400 is an frugal number, since it uses more digits than its factorization.

7794868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 7794868400 is about 88288.5519192607. The cubic root of 7794868400 is about 1982.7574748536.

The spelling of 7794868400 in words is "seven billion, seven hundred ninety-four million, eight hundred sixty-eight thousand, four hundred".