76776336 has 360 divisors, whose sum is σ = 288148224. Its totient is φ = 19595520.

The previous prime is 76776331. The next prime is 76776353. The reversal of 76776336 is 63367767.

76776336 = 126³ + 127³ + ... + 153³.

76776336 is a `hidden beast` number, since 7 + 6 + 7 + 7 + 633 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (666792) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 76776291 and 76776300.

It is not an unprimeable number, because it can be changed into a prime (76776331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2476641 + ... + 2476671.

Almost surely, 2^76776336 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 76776336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

76776336 is an abundant number, since it is smaller than the sum of its proper divisors (211371888).

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

76776336 is a wasteful number, since it uses less digits than its factorization.

76776336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 76776336 is about 8762.2106799597. The cubic root of 76776336 is about 425.0197656321.

The spelling of 76776336 in words is "seventy-six million, seven hundred seventy-six thousand, three hundred thirty-six".