77482944 has 168 divisors, whose sum is σ = 277051008. Its totient is φ = 20113920.

The previous prime is 77482913. The next prime is 77483011. The reversal of 77482944 is 44928477.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×77482944² = 12007213221814272, which contains 22 as substring.

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 77482944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43479 + ... + 45225.

Almost surely, 2^77482944 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 77482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138525504).

77482944 is an abundant number, since it is smaller than the sum of its proper divisors (199568064).

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

77482944 is a wasteful number, since it uses less digits than its factorization.

77482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1770 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 77482944 is about 8802.4396618210. The cubic root of 77482944 is about 426.3196701305.

The spelling of 77482944 in words is "seventy-seven million, four hundred eighty-two thousand, nine hundred forty-four".