7885587790080 has 6912 divisors, whose sum is σ = 42238204968960. Its totient is φ = 1354442342400.

The previous prime is 7885587790057. The next prime is 7885587790163. The reversal of 7885587790080 is 800977855887.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7885587789990 and 7885587790008.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 183385762539 + ... + 183385762581.

Almost surely, 2^{7885587790080} is an apocalyptic number.

7885587790080 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 7885587790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21119102484480).

7885587790080 is an abundant number, since it is smaller than the sum of its proper divisors (34352617178880).

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

7885587790080 is a wasteful number, since it uses less digits than its factorization.

7885587790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 72.

The spelling of 7885587790080 in words is "seven trillion, eight hundred eighty-five billion, five hundred eighty-seven million, seven hundred ninety thousand, eighty".