772533780480 has 1728 divisors, whose sum is σ = 3528738380160. Its totient is φ = 160526499840.

The previous prime is 772533780467. The next prime is 772533780481. The reversal of 772533780480 is 84087335277.

It is a happy number.

772533780480 is a `hidden beast` number, since 7 + 7 + 2 + 53 + 37 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772533780481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70230343675 + ... + 70230343685.

It is an arithmetic number, because the mean of its divisors is an integer number (2042093970).

Almost surely, 2^772533780480 is an apocalyptic number.

772533780480 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 772533780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764369190080).

772533780480 is an abundant number, since it is smaller than the sum of its proper divisors (2756204599680).

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

772533780480 is an frugal number, since it uses more digits than its factorization.

772533780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 772533780480 in words is "seven hundred seventy-two billion, five hundred thirty-three million, seven hundred eighty thousand, four hundred eighty".