74961600 has 336 divisors, whose sum is σ = 296314368. Its totient is φ = 16220160.

The previous prime is 74961563. The next prime is 74961611. The reversal of 74961600 is 616947.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 772752 + ... + 772848.

It is an arithmetic number, because the mean of its divisors is an integer number (881888).

Almost surely, 2^74961600 is an apocalyptic number.

74961600 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 74961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148157184).

74961600 is an abundant number, since it is smaller than the sum of its proper divisors (221352768).

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

74961600 is a wasteful number, since it uses less digits than its factorization.

74961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 74961600 is about 8658.0367289588. The cubic root of 74961600 is about 421.6443474432.

The spelling of 74961600 in words is "seventy-four million, nine hundred sixty-one thousand, six hundred".