872734464 has 216 divisors, whose sum is σ = 2932911072. Its totient is φ = 244408320.

The previous prime is 872734463. The next prime is 872734477. The reversal of 872734464 is 464437278.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872734463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854274 + ... + 855294.

It is an arithmetic number, because the mean of its divisors is an integer number (13578292).

Almost surely, 2^872734464 is an apocalyptic number.

872734464 is a gapful number since it is divisible by the number (84) 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 872734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466455536).

872734464 is an abundant number, since it is smaller than the sum of its proper divisors (2060176608).

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

872734464 is a wasteful number, since it uses less digits than its factorization.

872734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1086 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 872734464 is about 29542.0795476554. The cubic root of 872734464 is about 955.6393894438.

The spelling of 872734464 in words is "eight hundred seventy-two million, seven hundred thirty-four thousand, four hundred sixty-four".