76541976 has 256 divisors, whose sum is σ = 265420800. Its totient is φ = 19958400.

The previous prime is 76541963. The next prime is 76541977. The reversal of 76541976 is 67914567.

It is a happy number.

Its product of digits (317520) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76541977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078021 + ... + 1078091.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 2^76541976 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 76541976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132710400).

76541976 is an abundant number, since it is smaller than the sum of its proper divisors (188878824).

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

76541976 is a wasteful number, since it uses less digits than its factorization.

76541976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 76541976 is about 8748.8271213918. The cubic root of 76541976 is about 424.5868668138.

The spelling of 76541976 in words is "seventy-six million, five hundred forty-one thousand, nine hundred seventy-six".