876432000 has 384 divisors, whose sum is σ = 3160123200. Its totient is φ = 214272000.

The previous prime is 876431999. The next prime is 876432041. The reversal of 876432000 is 234678.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28271985 + ... + 28272015.

Almost surely, 2^876432000 is an apocalyptic number.

876432000 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 876432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580061600).

876432000 is an abundant number, since it is smaller than the sum of its proper divisors (2283691200).

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

876432000 is a wasteful number, since it uses less digits than its factorization.

876432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 876432000 is about 29604.5942380570. The cubic root of 876432000 is about 956.9870817572.

Adding to 876432000 its reverse (234678), we get a palindrome (876666678).

The spelling of 876432000 in words is "eight hundred seventy-six million, four hundred thirty-two thousand".