76378576 has 40 divisors (see below), whose sum is σ = 154755720. Its totient is φ = 36470784.

The previous prime is 76378571. The next prime is 76378579. The reversal of 76378576 is 67587367.

It can be written as a sum of positive squares in 4 ways, for example, as 29811600 + 46566976 = 5460^2 + 6824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76378571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44160 + ... + 45856.

It is an arithmetic number, because the mean of its divisors is an integer number (3868893).

Almost surely, 2^76378576 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 76378576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77377860).

76378576 is an abundant number, since it is smaller than the sum of its proper divisors (78377144).

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

76378576 is a wasteful number, since it uses less digits than its factorization.

76378576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 49.

The square root of 76378576 is about 8739.4837376129. The cubic root of 76378576 is about 424.2845188963.

The spelling of 76378576 in words is "seventy-six million, three hundred seventy-eight thousand, five hundred seventy-six".