77284808640 has 504 divisors, whose sum is σ = 298560579408. Its totient is φ = 19020718080.

The previous prime is 77284808611. The next prime is 77284808707. The reversal of 77284808640 is 4680848277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13138500 + ... + 13144380.

It is an arithmetic number, because the mean of its divisors is an integer number (592382102).

Almost surely, 2^77284808640 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 77284808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149280289704).

77284808640 is an abundant number, since it is smaller than the sum of its proper divisors (221275770768).

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

77284808640 is a wasteful number, since it uses less digits than its factorization.

77284808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 77284808640 in words is "seventy-seven billion, two hundred eighty-four million, eight hundred eight thousand, six hundred forty".