874732320 has 720 divisors, whose sum is σ = 3964064832. Its totient is φ = 173859840.

The previous prime is 874732291. The next prime is 874732321. The reversal of 874732320 is 23237478.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874732321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38031829 + ... + 38031851.

Almost surely, 2^874732320 is an apocalyptic number.

874732320 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 874732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982032416).

874732320 is an abundant number, since it is smaller than the sum of its proper divisors (3089332512).

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

874732320 is a wasteful number, since it uses less digits than its factorization.

874732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 874732320 is about 29575.8739515843. The cubic root of 874732320 is about 956.3680474541.

Adding to 874732320 its reverse (23237478), we get a palindrome (897969798).

The spelling of 874732320 in words is "eight hundred seventy-four million, seven hundred thirty-two thousand, three hundred twenty".