74412820 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 28113536.

The previous prime is 74412817. The next prime is 74412823. The reversal of 74412820 is 2821447.

It is an interprime number because it is at equal distance from previous prime (74412817) and next prime (74412823).

It is a super-3 number, since 3×74412820³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74412823) 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, 37206 + ... + 39154.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^74412820 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 74412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

74412820 is an abundant number, since it is smaller than the sum of its proper divisors (90697580).

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

74412820 is a wasteful number, since it uses less digits than its factorization.

74412820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 74412820 is about 8626.2865707093. The cubic root of 74412820 is about 420.6128995766.

The spelling of 74412820 in words is "seventy-four million, four hundred twelve thousand, eight hundred twenty".