77949144 has 96 divisors (see below), whose sum is σ = 259852320. Its totient is φ = 20556288.

The previous prime is 77949143. The next prime is 77949149. The reversal of 77949144 is 44194977.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 77949144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77949143) 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, 604 + ... + 12500.

It is an arithmetic number, because the mean of its divisors is an integer number (2706795).

Almost surely, 2^77949144 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 77949144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129926160).

77949144 is an abundant number, since it is smaller than the sum of its proper divisors (181903176).

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

77949144 is a wasteful number, since it uses less digits than its factorization.

77949144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11929 (or 11922 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77949144 is about 8828.8812428303. The cubic root of 77949144 is about 427.1729888657.

The spelling of 77949144 in words is "seventy-seven million, nine hundred forty-nine thousand, one hundred forty-four".