77750672 has 40 divisors (see below), whose sum is σ = 159900480. Its totient is φ = 36544640.

The previous prime is 77750669. The next prime is 77750677. The reversal of 77750672 is 27605777.

It is not an unprimeable number, because it can be changed into a prime (77750677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19922 + ... + 23502.

It is an arithmetic number, because the mean of its divisors is an integer number (3997512).

Almost surely, 2^77750672 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 77750672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79950240).

77750672 is an abundant number, since it is smaller than the sum of its proper divisors (82149808).

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

77750672 is a wasteful number, since it uses less digits than its factorization.

77750672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 41.

The square root of 77750672 is about 8817.6341498159. The cubic root of 77750672 is about 426.8101286234.

The spelling of 77750672 in words is "seventy-seven million, seven hundred fifty thousand, six hundred seventy-two".