5802782976 has 225 divisors, whose sum is σ = 18089339191. Its totient is φ = 1850162688.

The previous prime is 5802782959. The next prime is 5802782977. The reversal of 5802782976 is 6792872085.

It is a happy number.

The square root of 5802782976 is 76176.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

5802782976 is a `hidden beast` number, since 5 + 80 + 278 + 297 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5802782977) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 252294901 + ... + 252294923.

Almost surely, 2^5802782976 is an apocalyptic number.

5802782976 is the 76176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5802782976

5802782976 is an abundant number, since it is smaller than the sum of its proper divisors (12286556215).

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

5802782976 is an frugal number, since it uses more digits than its factorization.

5802782976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 5802782976 is about 1796.9890997413.

The spelling of 5802782976 in words is "five billion, eight hundred two million, seven hundred eighty-two thousand, nine hundred seventy-six".