876001200 has 120 divisors (see below), whose sum is σ = 2812700928. Its totient is φ = 233053440.

The previous prime is 876001183. The next prime is 876001229. The reversal of 876001200 is 2100678.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987157 + ... + 988043.

Almost surely, 2^876001200 is an apocalyptic number.

876001200 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 876001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406350464).

876001200 is an abundant number, since it is smaller than the sum of its proper divisors (1936699728).

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

876001200 is a wasteful number, since it uses less digits than its factorization.

876001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 876001200 is about 29597.3174460119. The cubic root of 876001200 is about 956.8302574202.

Adding to 876001200 its reverse (2100678), we get a palindrome (878101878).

The spelling of 876001200 in words is "eight hundred seventy-six million, one thousand, two hundred".