873978760 has 64 divisors (see below), whose sum is σ = 2001542400. Its totient is φ = 343392000.

The previous prime is 873978757. The next prime is 873978761. The reversal of 873978760 is 67879378.

873978760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×873978760² = 1527677745862275200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (873978761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246410 + ... + 1247110.

It is an arithmetic number, because the mean of its divisors is an integer number (31274100).

Almost surely, 2^873978760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873978760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000771200).

873978760 is an abundant number, since it is smaller than the sum of its proper divisors (1127563640).

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

873978760 is a wasteful number, since it uses less digits than its factorization.

873978760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 55.

The square root of 873978760 is about 29563.1317691479. The cubic root of 873978760 is about 956.0933395090.

The spelling of 873978760 in words is "eight hundred seventy-three million, nine hundred seventy-eight thousand, seven hundred sixty".