77290752 has 144 divisors (see below), whose sum is σ = 256660992. Its totient is φ = 20060160.

The previous prime is 77290747. The next prime is 77290769. The reversal of 77290752 is 25709277.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77290752.

It is a congruent number.

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, 58483 + ... + 59789.

It is an arithmetic number, because the mean of its divisors is an integer number (1782368).

Almost surely, 2^77290752 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 77290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128330496).

77290752 is an abundant number, since it is smaller than the sum of its proper divisors (179370240).

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

77290752 is a wasteful number, since it uses less digits than its factorization.

77290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 77290752 is about 8791.5159102398. The cubic root of 77290752 is about 425.9668911208.

The spelling of 77290752 in words is "seventy-seven million, two hundred ninety thousand, seven hundred fifty-two".