77340480 has 224 divisors, whose sum is σ = 297582336. Its totient is φ = 16613376.

The previous prime is 77340457. The next prime is 77340481. The reversal of 77340480 is 8404377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77340481) by changing a digit.

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, 113902 + ... + 114578.

Almost surely, 2^77340480 is an apocalyptic number.

77340480 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 77340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148791168).

77340480 is an abundant number, since it is smaller than the sum of its proper divisors (220241856).

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

77340480 is a wasteful number, since it uses less digits than its factorization.

77340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 77340480 is about 8794.3436366792. The cubic root of 77340480 is about 426.0582256370.

The spelling of 77340480 in words is "seventy-seven million, three hundred forty thousand, four hundred eighty".