7820630400 has 384 divisors, whose sum is σ = 29019571200. Its totient is φ = 1833984000.

The previous prime is 7820630387. The next prime is 7820630449. The reversal of 7820630400 is 40360287.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7820630400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3272406 + ... + 3274794.

It is an arithmetic number, because the mean of its divisors is an integer number (75571800).

Almost surely, 2^7820630400 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 7820630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509785600).

7820630400 is an abundant number, since it is smaller than the sum of its proper divisors (21198940800).

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

7820630400 is a wasteful number, since it uses less digits than its factorization.

7820630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7820630400 is about 88434.3281763366. The cubic root of 7820630400 is about 1984.9394072789.

Adding to 7820630400 its reverse (40360287), we get a palindrome (7860990687).

The spelling of 7820630400 in words is "seven billion, eight hundred twenty million, six hundred thirty thousand, four hundred".