74261880 has 512 divisors, whose sum is σ = 331776000. Its totient is φ = 14307840.

The previous prime is 74261821. The next prime is 74261881. The reversal of 74261880 is 8816247.

It is a super-2 number, since 2×74261880² = 11029653642268800, which contains 22 as substring.

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 (74261881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580017 + ... + 1580063.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 2^74261880 is an apocalyptic number.

74261880 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 74261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

74261880 is an abundant number, since it is smaller than the sum of its proper divisors (257514120).

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

74261880 is a wasteful number, since it uses less digits than its factorization.

74261880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 74261880 is about 8617.5332897529. The cubic root of 74261880 is about 420.3283147175.

The spelling of 74261880 in words is "seventy-four million, two hundred sixty-one thousand, eight hundred eighty".