77382720 has 168 divisors, whose sum is σ = 269879064. Its totient is φ = 20348928.

The previous prime is 77382719. The next prime is 77382731. The reversal of 77382720 is 2728377.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 76317696 = 1032^2 + 8736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279222 + ... + 279498.

It is an arithmetic number, because the mean of its divisors is an integer number (1606423).

Almost surely, 2^77382720 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 77382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134939532).

77382720 is an abundant number, since it is smaller than the sum of its proper divisors (192496344).

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

77382720 is a wasteful number, since it uses less digits than its factorization.

77382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77382720 is about 8796.7448525008. The cubic root of 77382720 is about 426.1357763328.

The spelling of 77382720 in words is "seventy-seven million, three hundred eighty-two thousand, seven hundred twenty".