772728480 has 288 divisors, whose sum is σ = 2827319040. Its totient is φ = 191600640.

The previous prime is 772728469. The next prime is 772728491. The reversal of 772728480 is 84827277.

It is an interprime number because it is at equal distance from previous prime (772728469) and next prime (772728491).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×772728480² = 1194218607606220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668729 + ... + 1669191.

It is an arithmetic number, because the mean of its divisors is an integer number (9817080).

Almost surely, 2^772728480 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 772728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413659520).

772728480 is an abundant number, since it is smaller than the sum of its proper divisors (2054590560).

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

772728480 is a wasteful number, since it uses less digits than its factorization.

772728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 772728480 is about 27797.9941722420. The cubic root of 772728480 is about 917.6469800441.

The spelling of 772728480 in words is "seven hundred seventy-two million, seven hundred twenty-eight thousand, four hundred eighty".