74823840 has 288 divisors, whose sum is σ = 314810496. Its totient is φ = 15759360.

The previous prime is 74823821. The next prime is 74823841. The reversal of 74823840 is 4832847.

74823840 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×74823840³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 74823795 and 74823804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74823841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130755 + ... + 131325.

It is an arithmetic number, because the mean of its divisors is an integer number (1093092).

Almost surely, 2^74823840 is an apocalyptic number.

74823840 is a gapful number since it is divisible by the number (70) 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 74823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157405248).

74823840 is an abundant number, since it is smaller than the sum of its proper divisors (239986656).

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

74823840 is a wasteful number, since it uses less digits than its factorization.

74823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 74823840 is about 8650.0774563006. The cubic root of 74823840 is about 421.3858980334.

The spelling of 74823840 in words is "seventy-four million, eight hundred twenty-three thousand, eight hundred forty".