74837840 has 80 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 23324160.

The previous prime is 74837839. The next prime is 74837857. The reversal of 74837840 is 4873847.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×74837840³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86 + ... + 12234.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^74837840 is an apocalyptic number.

74837840 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 74837840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

74837840 is an abundant number, since it is smaller than the sum of its proper divisors (142112560).

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

74837840 is a wasteful number, since it uses less digits than its factorization.

74837840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12180 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 74837840 is about 8650.8866597592. The cubic root of 74837840 is about 421.4121776909.

The spelling of 74837840 in words is "seventy-four million, eight hundred thirty-seven thousand, eight hundred forty".