76333100 has 36 divisors (see below), whose sum is σ = 168129864. Its totient is φ = 30074880.

The previous prime is 76333099. The next prime is 76333121. The reversal of 76333100 is 133367.

It is a super-2 number, since 2×76333100² = 11653484311220000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (4670274).

Almost surely, 2^76333100 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 76333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84064932).

76333100 is an abundant number, since it is smaller than the sum of its proper divisors (91796764).

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

76333100 is a wasteful number, since it uses less digits than its factorization.

76333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 76333100 is about 8736.8815947110. The cubic root of 76333100 is about 424.2002954816.

Adding to 76333100 its reverse (133367), we get a palindrome (76466467).

The spelling of 76333100 in words is "seventy-six million, three hundred thirty-three thousand, one hundred".