77249328 has 80 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 23208192.

The previous prime is 77249327. The next prime is 77249329. The reversal of 77249328 is 82394277.

It is an interprime number because it is at equal distance from previous prime (77249327) and next prime (77249329).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77249328.

It is not an unprimeable number, because it can be changed into a prime (77249327) 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 15 ways as a sum of consecutive naturals, for example, 25393 + ... + 28271.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^77249328 is an apocalyptic number.

77249328 is a gapful number since it is divisible by the number (78) 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 77249328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

77249328 is an abundant number, since it is smaller than the sum of its proper divisors (142736592).

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

77249328 is a wasteful number, since it uses less digits than its factorization.

77249328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2940 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 77249328 is about 8789.1596867960. The cubic root of 77249328 is about 425.8907784971.

It can be divided in two parts, 77249 and 328, that added together give a palindrome (77577).

The spelling of 77249328 in words is "seventy-seven million, two hundred forty-nine thousand, three hundred twenty-eight".