7879622400 has 648 divisors, whose sum is σ = 32174971920. Its totient is φ = 1822556160.

The previous prime is 7879622381. The next prime is 7879622407. The reversal of 7879622400 is 42269787.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879622407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12729291 + ... + 12729909.

Almost surely, 2^7879622400 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 7879622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087485960).

7879622400 is an abundant number, since it is smaller than the sum of its proper divisors (24295349520).

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

7879622400 is a wasteful number, since it uses less digits than its factorization.

7879622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7879622400 is about 88767.2371993181. The cubic root of 7879622400 is about 1989.9177932927.

The spelling of 7879622400 in words is "seven billion, eight hundred seventy-nine million, six hundred twenty-two thousand, four hundred".