7860416020800 has 672 divisors, whose sum is σ = 29921824880640. Its totient is φ = 1769353420800.

The previous prime is 7860416020759. The next prime is 7860416020817. The reversal of 7860416020800 is 80206140687.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7860416020800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3404250046 + ... + 3404252354.

It is an arithmetic number, because the mean of its divisors is an integer number (44526525120).

Almost surely, 2^{7860416020800} is an apocalyptic number.

7860416020800 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 7860416020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960912440320).

7860416020800 is an abundant number, since it is smaller than the sum of its proper divisors (22061408859840).

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

7860416020800 is a wasteful number, since it uses less digits than its factorization.

7860416020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 7860416020800 in words is "seven trillion, eight hundred sixty billion, four hundred sixteen million, twenty thousand, eight hundred".