77964560 has 20 divisors (see below), whose sum is σ = 181267788. Its totient is φ = 31185792.

The previous prime is 77964559. The next prime is 77964563. The reversal of 77964560 is 6546977.

It can be written as a sum of positive squares in 2 ways, for example, as 26584336 + 51380224 = 5156^2 + 7168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77964563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 487199 + ... + 487358.

Almost surely, 2^77964560 is an apocalyptic number.

It is an amenable number.

77964560 is an abundant number, since it is smaller than the sum of its proper divisors (103303228).

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

77964560 is a wasteful number, since it uses less digits than its factorization.

77964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974570 (or 974564 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 77964560 is about 8829.7542434657. The cubic root of 77964560 is about 427.2011476728.

It can be divided in two parts, 77964 and 560, that multiplied together give a triangular number (43659840 = T₉₃₄₄).

The spelling of 77964560 in words is "seventy-seven million, nine hundred sixty-four thousand, five hundred sixty".