76535820 has 96 divisors (see below), whose sum is σ = 239447040. Its totient is φ = 20295360.

The previous prime is 76535783. The next prime is 76535827. The reversal of 76535820 is 2853567.

76535820 is a `hidden beast` number, since 76 + 5 + 3 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76535827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146079 + ... + 146601.

It is an arithmetic number, because the mean of its divisors is an integer number (2494240).

Almost surely, 2^76535820 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 76535820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119723520).

76535820 is an abundant number, since it is smaller than the sum of its proper divisors (162911220).

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

76535820 is a wasteful number, since it uses less digits than its factorization.

76535820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 76535820 is about 8748.4752957301. The cubic root of 76535820 is about 424.5754838361.

It can be divided in two parts, 765 and 35820, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 76535820 in words is "seventy-six million, five hundred thirty-five thousand, eight hundred twenty".