77022582480 has 280 divisors, whose sum is σ = 277757925480. Its totient is φ = 19830666240.

The previous prime is 77022582479. The next prime is 77022582491. The reversal of 77022582480 is 8428522077.

77022582480 is a `hidden beast` number, since 7 + 7 + 0 + 22 + 582 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 461906064 + 76560676416 = 21492^2 + 276696^2 .

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 55 ways as a sum of consecutive naturals, for example, 1668510 + ... + 1714050.

It is an arithmetic number, because the mean of its divisors is an integer number (991992591).

Almost surely, 2^77022582480 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 77022582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138878962740).

77022582480 is an abundant number, since it is smaller than the sum of its proper divisors (200735343000).

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

77022582480 is a wasteful number, since it uses less digits than its factorization.

77022582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45601 (or 45580 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 77022582480 in words is "seventy-seven billion, twenty-two million, five hundred eighty-two thousand, four hundred eighty".