772116480 has 312 divisors, whose sum is σ = 2760039360. Its totient is φ = 199557120.

The previous prime is 772116479. The next prime is 772116487. The reversal of 772116480 is 84611277.

772116480 is a `hidden beast` number, since 7 + 7 + 2 + 1 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772116487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10874845 + ... + 10874915.

It is an arithmetic number, because the mean of its divisors is an integer number (8846280).

Almost surely, 2^772116480 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 772116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380019680).

772116480 is an abundant number, since it is smaller than the sum of its proper divisors (1987922880).

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

772116480 is a wasteful number, since it uses less digits than its factorization.

772116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 772116480 is about 27786.9840033063. The cubic root of 772116480 is about 917.4046576356.

The spelling of 772116480 in words is "seven hundred seventy-two million, one hundred sixteen thousand, four hundred eighty".