77445984 has 96 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 20113920.

The previous prime is 77445971. The next prime is 77446001. The reversal of 77445984 is 48954477.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154 + ... + 12630.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2^77445984 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 77445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

77445984 is an abundant number, since it is smaller than the sum of its proper divisors (176037792).

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

77445984 is a wasteful number, since it uses less digits than its factorization.

77445984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 10500 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 77445984 is about 8800.3399934321. The cubic root of 77445984 is about 426.2518733560.

The spelling of 77445984 in words is "seventy-seven million, four hundred forty-five thousand, nine hundred eighty-four".