76877136 has 120 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 21535488.

The previous prime is 76877131. The next prime is 76877137. The reversal of 76877136 is 63177867.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 76877091 and 76877100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76877131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52705 + ... + 54143.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^76877136 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 76877136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

76877136 is an abundant number, since it is smaller than the sum of its proper divisors (173821104).

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

76877136 is a wasteful number, since it uses less digits than its factorization.

76877136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1504 counting only the distinct ones).

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

The square root of 76877136 is about 8767.9607663356. The cubic root of 76877136 is about 425.2056877496.

The spelling of 76877136 in words is "seventy-six million, eight hundred seventy-seven thousand, one hundred thirty-six".