77284730880 has 1536 divisors, whose sum is σ = 348147072000. Its totient is φ = 16052649984.

The previous prime is 77284730869. The next prime is 77284730933. The reversal of 77284730880 is 8803748277.

It is a happy number.

77284730880 is a `hidden beast` number, since 77 + 28 + 473 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 2664990706 + ... + 2664990734.

It is an arithmetic number, because the mean of its divisors is an integer number (226658250).

Almost surely, 2^77284730880 is an apocalyptic number.

77284730880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77284730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536000).

77284730880 is an abundant number, since it is smaller than the sum of its proper divisors (270862341120).

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

77284730880 is an equidigital number, since it uses as much as digits as its factorization.

77284730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 77284730880 in words is "seventy-seven billion, two hundred eighty-four million, seven hundred thirty thousand, eight hundred eighty".