73777340 has 72 divisors (see below), whose sum is σ = 194124672. Its totient is φ = 23345280.

The previous prime is 73777337. The next prime is 73777349. The reversal of 73777340 is 4377737.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73777294 and 73777303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73777349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9845 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (2696176).

Almost surely, 2^73777340 is an apocalyptic number.

73777340 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 73777340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97062336).

73777340 is an abundant number, since it is smaller than the sum of its proper divisors (120347332).

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

73777340 is a wasteful number, since it uses less digits than its factorization.

73777340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 38.

The square root of 73777340 is about 8589.3736675034. The cubic root of 73777340 is about 419.4121405403.

The spelling of 73777340 in words is "seventy-three million, seven hundred seventy-seven thousand, three hundred forty".