74027800 has 288 divisors, whose sum is σ = 237484800. Its totient is φ = 20908800.

The previous prime is 74027791. The next prime is 74027827. The reversal of 74027800 is 872047.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3218589 + ... + 3218611.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^74027800 is an apocalyptic number.

74027800 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 74027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

74027800 is an abundant number, since it is smaller than the sum of its proper divisors (163457000).

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

74027800 is a wasteful number, since it uses less digits than its factorization.

74027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 74027800 is about 8603.9409574915. The cubic root of 74027800 is about 419.8862125615.

74027800 divided by its sum of digits (28) gives a triangular number (2643850 = T₂₂₉₉).

Adding to 74027800 its reverse (872047), we get a palindrome (74899847).

The spelling of 74027800 in words is "seventy-four million, twenty-seven thousand, eight hundred".