7861670400 has 240 divisors, whose sum is σ = 27500498784. Its totient is φ = 1972961280.

The previous prime is 7861670389. The next prime is 7861670437. The reversal of 7861670400 is 40761687.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7861670400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646779 + ... + 658821.

Almost surely, 2^7861670400 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 7861670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750249392).

7861670400 is an abundant number, since it is smaller than the sum of its proper divisors (19638828384).

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

7861670400 is a wasteful number, since it uses less digits than its factorization.

7861670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7861670400 is about 88666.0611508146. The cubic root of 7861670400 is about 1988.4054463881.

The spelling of 7861670400 in words is "seven billion, eight hundred sixty-one million, six hundred seventy thousand, four hundred".