876540000 has 240 divisors, whose sum is σ = 3287547648. Its totient is φ = 200256000.

The previous prime is 876539987. The next prime is 876540001. The reversal of 876540000 is 45678.

It is a happy number.

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

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 a self number, because there is not a number n which added to its sum of digits gives 876540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876540001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418957 + ... + 421043.

Almost surely, 2^876540000 is an apocalyptic number.

876540000 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 876540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643773824).

876540000 is an abundant number, since it is smaller than the sum of its proper divisors (2411007648).

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

876540000 is a wasteful number, since it uses less digits than its factorization.

876540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 876540000 is about 29606.4182230813. The cubic root of 876540000 is about 957.0263889938.

Adding to 876540000 its reverse (45678), we get a palindrome (876585678).

The spelling of 876540000 in words is "eight hundred seventy-six million, five hundred forty thousand".