76111776 has 144 divisors (see below), whose sum is σ = 241473960. Its totient is φ = 22579200.

The previous prime is 76111759. The next prime is 76111793. The reversal of 76111776 is 67711167.

It is an interprime number because it is at equal distance from previous prime (76111759) and next prime (76111793).

It can be written as a sum of positive squares in 4 ways, for example, as 65999376 + 10112400 = 8124^2 + 3180^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76111776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108226 + ... + 108926.

Almost surely, 2^76111776 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 76111776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120736980).

76111776 is an abundant number, since it is smaller than the sum of its proper divisors (165362184).

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

76111776 is a wasteful number, since it uses less digits than its factorization.

76111776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 76111776 is about 8724.2063249329. The cubic root of 76111776 is about 423.7899160979.

The spelling of 76111776 in words is "seventy-six million, one hundred eleven thousand, seven hundred seventy-six".