77283380 has 48 divisors (see below), whose sum is σ = 167892816. Its totient is φ = 29859840.

The previous prime is 77283379. The next prime is 77283383. The reversal of 77283380 is 8338277.

It can be written as a sum of positive squares in 8 ways, for example, as 2149156 + 75134224 = 1466^2 + 8668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77283383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133652 + ... + 134228.

It is an arithmetic number, because the mean of its divisors is an integer number (3497767).

Almost surely, 2^77283380 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 77283380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83946408).

77283380 is an abundant number, since it is smaller than the sum of its proper divisors (90609436).

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

77283380 is a wasteful number, since it uses less digits than its factorization.

77283380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 77283380 is about 8791.0966323889. The cubic root of 77283380 is about 425.9533477680.

The spelling of 77283380 in words is "seventy-seven million, two hundred eighty-three thousand, three hundred eighty".