73377680 has 40 divisors (see below), whose sum is σ = 172134072. Its totient is φ = 29087744.

The previous prime is 73377643. The next prime is 73377691. The reversal of 73377680 is 8677337.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 69488896 = 1972^2 + 8336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4982 + ... + 13098.

Almost surely, 2^73377680 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 73377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86067036).

73377680 is an abundant number, since it is smaller than the sum of its proper divisors (98756392).

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

73377680 is a wasteful number, since it uses less digits than its factorization.

73377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 41.

The square root of 73377680 is about 8566.0772819302. The cubic root of 73377680 is about 418.6534349252.

The spelling of 73377680 in words is "seventy-three million, three hundred seventy-seven thousand, six hundred eighty".