74978100 has 108 divisors (see below), whose sum is σ = 236693184. Its totient is φ = 19851840.

The previous prime is 74978087. The next prime is 74978107. The reversal of 74978100 is 187947.

It is a super-2 number, since 2×74978100² = 11243430959220000, 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 (74978107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 204117 + ... + 204483.

Almost surely, 2^74978100 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 74978100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118346592).

74978100 is an abundant number, since it is smaller than the sum of its proper divisors (161715084).

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

74978100 is a wasteful number, since it uses less digits than its factorization.

74978100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 74978100 is about 8658.9895484404. The cubic root of 74978100 is about 421.6752815986.

It can be divided in two parts, 74978 and 100, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 74978100 in words is "seventy-four million, nine hundred seventy-eight thousand, one hundred".