7890713600 has 264 divisors, whose sum is σ = 24391855488. Its totient is φ = 2458828800.

The previous prime is 7890713599. The next prime is 7890713603. The reversal of 7890713600 is 63170987.

It is a super-2 number, since 2×7890713600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890713603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969199 + ... + 1973201.

It is an arithmetic number, because the mean of its divisors is an integer number (92393392).

Almost surely, 2^7890713600 is an apocalyptic number.

7890713600 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 7890713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195927744).

7890713600 is an abundant number, since it is smaller than the sum of its proper divisors (16501141888).

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

7890713600 is a wasteful number, since it uses less digits than its factorization.

7890713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 7890713600 is about 88829.6887307391. The cubic root of 7890713600 is about 1990.8510118249.

The spelling of 7890713600 in words is "seven billion, eight hundred ninety million, seven hundred thirteen thousand, six hundred".