77448960 has 252 divisors, whose sum is σ = 281495592. Its totient is φ = 20404224.

The previous prime is 77448949. The next prime is 77448989. The reversal of 77448960 is 6984477.

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 (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933079 + ... + 933161.

It is an arithmetic number, because the mean of its divisors is an integer number (1117046).

Almost surely, 2^77448960 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 77448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140747796).

77448960 is an abundant number, since it is smaller than the sum of its proper divisors (204046632).

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

77448960 is an frugal number, since it uses more digits than its factorization.

77448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

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

The square root of 77448960 is about 8800.5090761842. The cubic root of 77448960 is about 426.2573331154.

The spelling of 77448960 in words is "seventy-seven million, four hundred forty-eight thousand, nine hundred sixty".