7856481600 has 756 divisors, whose sum is σ = 32020471392. Its totient is φ = 1893196800.

The previous prime is 7856481587. The next prime is 7856481629. The reversal of 7856481600 is 61846587.

It is a happy number.

7856481600 is a `hidden beast` number, since 7 + 8 + 564 + 81 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×7856481600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47044717 + ... + 47044883.

Almost surely, 2^7856481600 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 7856481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16010235696).

7856481600 is an abundant number, since it is smaller than the sum of its proper divisors (24163989792).

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

7856481600 is a wasteful number, since it uses less digits than its factorization.

7856481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7856481600 is about 88636.7959709736. The cubic root of 7856481600 is about 1987.9678926891.

The spelling of 7856481600 in words is "seven billion, eight hundred fifty-six million, four hundred eighty-one thousand, six hundred".