76289850 has 336 divisors, whose sum is σ = 273232512. Its totient is φ = 15396480.

The previous prime is 76289839. The next prime is 76289867. The reversal of 76289850 is 5898267.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 76289796 and 76289805.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3316939 + ... + 3316961.

It is an arithmetic number, because the mean of its divisors is an integer number (813192).

Almost surely, 2^76289850 is an apocalyptic number.

76289850 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76289850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136616256).

76289850 is an abundant number, since it is smaller than the sum of its proper divisors (196942662).

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

76289850 is a wasteful number, since it uses less digits than its factorization.

76289850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 76289850 is about 8734.4061045958. The cubic root of 76289850 is about 424.1201636694.

The spelling of 76289850 in words is "seventy-six million, two hundred eighty-nine thousand, eight hundred fifty".