77448240 has 120 divisors (see below), whose sum is σ = 261724320. Its totient is φ = 20524032.

The previous prime is 77448233. The next prime is 77448269. The reversal of 77448240 is 4284477.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77448195 and 77448204.

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 23 ways as a sum of consecutive naturals, for example, 189156 + ... + 189564.

It is an arithmetic number, because the mean of its divisors is an integer number (2181036).

Almost surely, 2^77448240 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 77448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130862160).

77448240 is an abundant number, since it is smaller than the sum of its proper divisors (184276080).

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

77448240 is a wasteful number, since it uses less digits than its factorization.

77448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 77448240 is about 8800.4681693646. The cubic root of 77448240 is about 426.2560122187.

The spelling of 77448240 in words is "seventy-seven million, four hundred forty-eight thousand, two hundred forty".