74807720100 has 189 divisors, whose sum is σ = 243628291123. Its totient is φ = 19929032640.

The previous prime is 74807720077. The next prime is 74807720129. The reversal of 74807720100 is 102770847.

The square root of 74807720100 is 273510.

It is a perfect power (a square), and thus also a powerful number.

74807720100 is a `hidden beast` number, since 7 + 480 + 7 + 72 + 0 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44648535204 + 30159184896 = 211302^2 + 173664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 73847194 + ... + 73848206.

Almost surely, 2^74807720100 is an apocalyptic number.

74807720100 is the 273510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74807720100

74807720100 is an abundant number, since it is smaller than the sum of its proper divisors (168820571023).

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

74807720100 is an equidigital number, since it uses as much as digits as its factorization.

74807720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

Multiplying 74807720100 by its sum of digits (36), we get a square (2693077923600 = 1641060²).

74807720100 divided by its sum of digits (36) gives a square (2077992225 = 45585²).

The spelling of 74807720100 in words is "seventy-four billion, eight hundred seven million, seven hundred twenty thousand, one hundred".