77006376 has 80 divisors (see below), whose sum is σ = 217393440. Its totient is φ = 25466400.

The previous prime is 77006359. The next prime is 77006381. The reversal of 77006376 is 67360077.

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 77006376.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97455 + ... + 98241.

It is an arithmetic number, because the mean of its divisors is an integer number (2717418).

Almost surely, 2^77006376 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 77006376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108696720).

77006376 is an abundant number, since it is smaller than the sum of its proper divisors (140387064).

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

77006376 is a wasteful number, since it uses less digits than its factorization.

77006376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 77006376 is about 8775.3276861893. The cubic root of 77006376 is about 425.4438288497.

The spelling of 77006376 in words is "seventy-seven million, six thousand, three hundred seventy-six".