74311776 has 192 divisors, whose sum is σ = 270466560. Its totient is φ = 19284480.

The previous prime is 74311751. The next prime is 74311789. The reversal of 74311776 is 67711347.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 74311776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65970 + ... + 67086.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 2^74311776 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 74311776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

74311776 is an abundant number, since it is smaller than the sum of its proper divisors (196154784).

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

74311776 is a wasteful number, since it uses less digits than its factorization.

74311776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1140 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 74311776 is about 8620.4278316102. The cubic root of 74311776 is about 420.4224321221.

The spelling of 74311776 in words is "seventy-four million, three hundred eleven thousand, seven hundred seventy-six".