77322516480 has 576 divisors, whose sum is σ = 295978082400. Its totient is φ = 18512609280.

The previous prime is 77322516463. The next prime is 77322516499. The reversal of 77322516480 is 8461522377.

77322516480 is a `hidden beast` number, since 7 + 73 + 22 + 516 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90224212 + ... + 90225068.

Almost surely, 2^77322516480 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 77322516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147989041200).

77322516480 is an abundant number, since it is smaller than the sum of its proper divisors (218655565920).

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

77322516480 is a wasteful number, since it uses less digits than its factorization.

77322516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77322516480 in words is "seventy-seven billion, three hundred twenty-two million, five hundred sixteen thousand, four hundred eighty".