77245728 has 96 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 21745920.

The previous prime is 77245717. The next prime is 77245757. The reversal of 77245728 is 82754277.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 77245728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46903 + ... + 48521.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^77245728 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 77245728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

77245728 is an abundant number, since it is smaller than the sum of its proper divisors (157900512).

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

77245728 is a wasteful number, since it uses less digits than its factorization.

77245728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 77245728 is about 8788.9548866745. The cubic root of 77245728 is about 425.8841625577.

The spelling of 77245728 in words is "seventy-seven million, two hundred forty-five thousand, seven hundred twenty-eight".