8215379200 has 648 divisors, whose sum is σ = 26524677312. Its totient is φ = 2497904640.

The previous prime is 8215379191. The next prime is 8215379209. The reversal of 8215379200 is 29735128.

It is an interprime number because it is at equal distance from previous prime (8215379191) and next prime (8215379209).

It is a self number, because there is not a number n which added to its sum of digits gives 8215379200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8215379209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122617567 + ... + 122617633.

It is an arithmetic number, because the mean of its divisors is an integer number (40933144).

Almost surely, 2^8215379200 is an apocalyptic number.

8215379200 is a gapful number since it is divisible by the number (80) 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 8215379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262338656).

8215379200 is an abundant number, since it is smaller than the sum of its proper divisors (18309298112).

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

8215379200 is a wasteful number, since it uses less digits than its factorization.

8215379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 8215379200 is about 90638.7290290414. The cubic root of 8215379200 is about 2017.7895632335.

The spelling of 8215379200 in words is "eight billion, two hundred fifteen million, three hundred seventy-nine thousand, two hundred".