7820412000 has 192 divisors, whose sum is σ = 25738824384. Its totient is φ = 2075750400.

The previous prime is 7820411987. The next prime is 7820412011. The reversal of 7820412000 is 2140287.

It is a super-2 number, since 2×7820412000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794602 + ... + 2797398.

It is an arithmetic number, because the mean of its divisors is an integer number (134056377).

Almost surely, 2^7820412000 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 7820412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869412192).

7820412000 is an abundant number, since it is smaller than the sum of its proper divisors (17918412384).

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

7820412000 is a wasteful number, since it uses less digits than its factorization.

7820412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7820412000 is about 88433.0933531107. The cubic root of 7820412000 is about 1984.9209298766.

Adding to 7820412000 its reverse (2140287), we get a palindrome (7822552287).

The spelling of 7820412000 in words is "seven billion, eight hundred twenty million, four hundred twelve thousand".