76318776 has 72 divisors (see below), whose sum is σ = 213773040. Its totient is φ = 24596640.

The previous prime is 76318769. The next prime is 76318783. The reversal of 76318776 is 67781367.

It is a happy number.

76318776 is a `hidden beast` number, since 7 + 631 + 8 + 7 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (76318769) and next prime (76318783).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×76318776³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68641 + ... + 69743.

It is an arithmetic number, because the mean of its divisors is an integer number (2969070).

Almost surely, 2^76318776 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 76318776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106886520).

76318776 is an abundant number, since it is smaller than the sum of its proper divisors (137454264).

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

76318776 is a wasteful number, since it uses less digits than its factorization.

76318776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1139 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 76318776 is about 8736.0618129681. The cubic root of 76318776 is about 424.1737599195.

The spelling of 76318776 in words is "seventy-six million, three hundred eighteen thousand, seven hundred seventy-six".