77741664 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 18616320.

The previous prime is 77741623. The next prime is 77741689. The reversal of 77741664 is 46614777.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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 31 ways as a sum of consecutive naturals, for example, 95692 + ... + 96500.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^77741664 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 77741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

77741664 is an abundant number, since it is smaller than the sum of its proper divisors (196595616).

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

77741664 is a wasteful number, since it uses less digits than its factorization.

77741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 77741664 is about 8817.1233404098. The cubic root of 77741664 is about 426.7936449325.

The spelling of 77741664 in words is "seventy-seven million, seven hundred forty-one thousand, six hundred sixty-four".