74180400 has 120 divisors (see below), whose sum is σ = 271601664. Its totient is φ = 16953600.

The previous prime is 74180387. The next prime is 74180413. The reversal of 74180400 is 408147.

It is an interprime number because it is at equal distance from previous prime (74180387) and next prime (74180413).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3985 + ... + 12815.

Almost surely, 2^74180400 is an apocalyptic number.

74180400 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 74180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135800832).

74180400 is an abundant number, since it is smaller than the sum of its proper divisors (197421264).

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

74180400 is a wasteful number, since it uses less digits than its factorization.

74180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8859 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 74180400 is about 8612.8044213253. The cubic root of 74180400 is about 420.1745306385.

Adding to 74180400 its reverse (408147), we get a palindrome (74588547).

The spelling of 74180400 in words is "seventy-four million, one hundred eighty thousand, four hundred".