772128480 has 96 divisors (see below), whose sum is σ = 2516119200. Its totient is φ = 198797312.

The previous prime is 772128473. The next prime is 772128503. The reversal of 772128480 is 84821277.

772128480 = T₃₆₈ + T₃₆₉ + ... + T₁₆₇₂.

772128480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×772128480² = 1192364779254220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13815 + ... + 41654.

It is an arithmetic number, because the mean of its divisors is an integer number (26209575).

Almost surely, 2^772128480 is an apocalyptic number.

It is an amenable number.

772128480 is an abundant number, since it is smaller than the sum of its proper divisors (1743990720).

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

772128480 is a wasteful number, since it uses less digits than its factorization.

772128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55516 (or 55508 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 772128480 is about 27787.1999309034. The cubic root of 772128480 is about 917.4094102859.

The spelling of 772128480 in words is "seven hundred seventy-two million, one hundred twenty-eight thousand, four hundred eighty".