7804876800 has 864 divisors, whose sum is σ = 32300901360. Its totient is φ = 1651507200.

The previous prime is 7804876799. The next prime is 7804876801. The reversal of 7804876800 is 86784087.

It is an interprime number because it is at equal distance from previous prime (7804876799) and next prime (7804876801).

It is a super-2 number, since 2×7804876800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7804876800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7804876801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127948770 + ... + 127948830.

Almost surely, 2^7804876800 is an apocalyptic number.

7804876800 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 7804876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150450680).

7804876800 is an abundant number, since it is smaller than the sum of its proper divisors (24496024560).

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

7804876800 is a wasteful number, since it uses less digits than its factorization.

7804876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 7804876800 is about 88345.2137922593. The cubic root of 7804876800 is about 1983.6057142249.

The spelling of 7804876800 in words is "seven billion, eight hundred four million, eight hundred seventy-six thousand, eight hundred".