73777416 has 64 divisors (see below), whose sum is σ = 196447680. Its totient is φ = 23009280.

The previous prime is 73777411. The next prime is 73777423. The reversal of 73777416 is 61477737.

It is a super-2 number, since 2×73777416² = 10886214223274112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73777411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85660 + ... + 86516.

It is an arithmetic number, because the mean of its divisors is an integer number (3069495).

Almost surely, 2^73777416 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 73777416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98223840).

73777416 is an abundant number, since it is smaller than the sum of its proper divisors (122670264).

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

73777416 is a wasteful number, since it uses less digits than its factorization.

73777416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its digits is 172872, while the sum is 42.

The square root of 73777416 is about 8589.3780915733. The cubic root of 73777416 is about 419.4122845561.

The spelling of 73777416 in words is "seventy-three million, seven hundred seventy-seven thousand, four hundred sixteen".