7900468800 has 336 divisors, whose sum is σ = 30038113152. Its totient is φ = 1780531200.

The previous prime is 7900468787. The next prime is 7900468853. The reversal of 7900468800 is 88640097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451190 + ... + 2454410.

Almost surely, 2^7900468800 is an apocalyptic number.

7900468800 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 7900468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019056576).

7900468800 is an abundant number, since it is smaller than the sum of its proper divisors (22137644352).

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

7900468800 is a wasteful number, since it uses less digits than its factorization.

7900468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7900468800 is about 88884.5813400727. The cubic root of 7900468800 is about 1991.6710961622.

The spelling of 7900468800 in words is "seven billion, nine hundred million, four hundred sixty-eight thousand, eight hundred".