77733340 has 48 divisors (see below), whose sum is σ = 169908480. Its totient is φ = 29836800.

The previous prime is 77733319. The next prime is 77733343. The reversal of 77733340 is 4333777.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77733296 and 77733305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77733343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129040 + ... + 129640.

It is an arithmetic number, because the mean of its divisors is an integer number (3539760).

Almost surely, 2^77733340 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 77733340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84954240).

77733340 is an abundant number, since it is smaller than the sum of its proper divisors (92175140).

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

77733340 is a wasteful number, since it uses less digits than its factorization.

77733340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 34.

The square root of 77733340 is about 8816.6512917320. The cubic root of 77733340 is about 426.7784117576.

The spelling of 77733340 in words is "seventy-seven million, seven hundred thirty-three thousand, three hundred forty".