77722720 has 48 divisors (see below), whose sum is σ = 184893408. Its totient is φ = 30873600.

The previous prime is 77722709. The next prime is 77722739. The reversal of 77722720 is 2722777.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22552 + ... + 25768.

It is an arithmetic number, because the mean of its divisors is an integer number (3851946).

Almost surely, 2^77722720 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 77722720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92446704).

77722720 is an abundant number, since it is smaller than the sum of its proper divisors (107170688).

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

77722720 is a wasteful number, since it uses less digits than its factorization.

77722720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 34.

The square root of 77722720 is about 8816.0490016787. The cubic root of 77722720 is about 426.7589752535.

The spelling of 77722720 in words is "seventy-seven million, seven hundred twenty-two thousand, seven hundred twenty".