882074400480 has 1536 divisors, whose sum is σ = 4071165235200. Its totient is φ = 173075595264.

The previous prime is 882074400479. The next prime is 882074400481. The reversal of 882074400480 is 84004470288.

It is a happy number.

882074400480 is a `hidden beast` number, since 88 + 20 + 74 + 4 + 0 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (882074400479) and next prime (882074400481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882074400481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 594789819 + ... + 594791301.

It is an arithmetic number, because the mean of its divisors is an integer number (2650498200).

Almost surely, 2^882074400480 is an apocalyptic number.

882074400480 is a gapful number since it is divisible by the number (80) 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 882074400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035582617600).

882074400480 is an abundant number, since it is smaller than the sum of its proper divisors (3189090834720).

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

882074400480 is a wasteful number, since it uses less digits than its factorization.

882074400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 882074400480 in words is "eight hundred eighty-two billion, seventy-four million, four hundred thousand, four hundred eighty".