77272059480 has 1024 divisors, whose sum is σ = 320734494720. Its totient is φ = 14415667200.

The previous prime is 77272059479. The next prime is 77272059497. The reversal of 77272059480 is 8495027277.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 243760282 + ... + 243760598.

It is an arithmetic number, because the mean of its divisors is an integer number (313217280).

Almost surely, 2^77272059480 is an apocalyptic number.

77272059480 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 77272059480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160367247360).

77272059480 is an abundant number, since it is smaller than the sum of its proper divisors (243462435240).

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

77272059480 is a wasteful number, since it uses less digits than its factorization.

77272059480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 77272059480 in words is "seventy-seven billion, two hundred seventy-two million, fifty-nine thousand, four hundred eighty".