77449680 has 360 divisors, whose sum is σ = 329312256. Its totient is φ = 15966720.

The previous prime is 77449679. The next prime is 77449727. The reversal of 77449680 is 8694477.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609777 + ... + 609903.

Almost surely, 2^77449680 is an apocalyptic number.

77449680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656128).

77449680 is an abundant number, since it is smaller than the sum of its proper divisors (251862576).

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

77449680 is a wasteful number, since it uses less digits than its factorization.

77449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77449680 is about 8800.5499828136. The cubic root of 77449680 is about 426.2586540040.

It can be divided in two parts, 7744 and 9680, that added together give a square (17424 = 132²).

The spelling of 77449680 in words is "seventy-seven million, four hundred forty-nine thousand, six hundred eighty".