77773576416 has 96 divisors (see below), whose sum is σ = 208257920640. Its totient is φ = 25407545856.

The previous prime is 77773576411. The next prime is 77773576417. The reversal of 77773576416 is 61467537777.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77773576416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77773576411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236415 + ... + 1297793.

It is an arithmetic number, because the mean of its divisors is an integer number (2169353340).

Almost surely, 2^77773576416 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 77773576416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104128960320).

77773576416 is an abundant number, since it is smaller than the sum of its proper divisors (130484344224).

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

77773576416 is a wasteful number, since it uses less digits than its factorization.

77773576416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61656 (or 61648 counting only the distinct ones).

The product of its digits is 36303120, while the sum is 60.

The spelling of 77773576416 in words is "seventy-seven billion, seven hundred seventy-three million, five hundred seventy-six thousand, four hundred sixteen".