77772460 has 24 divisors (see below), whose sum is σ = 163643760. Its totient is φ = 31047744.

The previous prime is 77772421. The next prime is 77772469. The reversal of 77772460 is 6427777.

It is a hoax number, since the sum of its digits (40) 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 (77772469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7386 + ... + 14494.

It is an arithmetic number, because the mean of its divisors is an integer number (6818490).

Almost surely, 2^77772460 is an apocalyptic number.

It is an amenable number.

77772460 is an abundant number, since it is smaller than the sum of its proper divisors (85871300).

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

77772460 is a wasteful number, since it uses less digits than its factorization.

77772460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 77772460 is about 8818.8695420672. The cubic root of 77772460 is about 426.8499931045.

It can be divided in two parts, 777 and 72460, that added together give a palindrome (73237).

The spelling of 77772460 in words is "seventy-seven million, seven hundred seventy-two thousand, four hundred sixty".