772464560 has 80 divisors (see below), whose sum is σ = 2064159552. Its totient is φ = 263347200.

The previous prime is 772464557. The next prime is 772464569. The reversal of 772464560 is 65464277.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (772464569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97550 + ... + 105170.

Almost surely, 2^772464560 is an apocalyptic number.

772464560 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 772464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032079776).

772464560 is an abundant number, since it is smaller than the sum of its proper divisors (1291694992).

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

772464560 is a wasteful number, since it uses less digits than its factorization.

772464560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7822 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 772464560 is about 27793.2466617342. The cubic root of 772464560 is about 917.5424961817.

The spelling of 772464560 in words is "seven hundred seventy-two million, four hundred sixty-four thousand, five hundred sixty".