755978076 has 144 divisors (see below), whose sum is σ = 2379444480. Its totient is φ = 206569440.

The previous prime is 755978071. The next prime is 755978087. The reversal of 755978076 is 670879557.

755978076 is a `hidden beast` number, since 7 + 559 + 7 + 80 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755978071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118611 + ... + 124821.

It is an arithmetic number, because the mean of its divisors is an integer number (16523920).

Almost surely, 2^755978076 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 755978076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189722240).

755978076 is an abundant number, since it is smaller than the sum of its proper divisors (1623466404).

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

755978076 is a wasteful number, since it uses less digits than its factorization.

755978076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 755978076 is about 27495.0554827591. The cubic root of 755978076 is about 910.9678853696.

The spelling of 755978076 in words is "seven hundred fifty-five million, nine hundred seventy-eight thousand, seventy-six".