76779252 has 144 divisors (see below), whose sum is σ = 226017792. Its totient is φ = 22589280.

The previous prime is 76779251. The next prime is 76779257. The reversal of 76779252 is 25297767.

It is a junction number, because it is equal to n+sod(n) for n = 76779198 and 76779207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76779251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459673 + ... + 459839.

It is an arithmetic number, because the mean of its divisors is an integer number (1569568).

Almost surely, 2^76779252 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 76779252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008896).

76779252 is an abundant number, since it is smaller than the sum of its proper divisors (149238540).

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

76779252 is a wasteful number, since it uses less digits than its factorization.

76779252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 76779252 is about 8762.3770747440. The cubic root of 76779252 is about 425.0251463783.

The spelling of 76779252 in words is "seventy-six million, seven hundred seventy-nine thousand, two hundred fifty-two".