76329000 has 256 divisors, whose sum is σ = 289785600. Its totient is φ = 18432000.

The previous prime is 76328969. The next prime is 76329049. The reversal of 76329000 is 92367.

It is a super-2 number, since 2×76329000² = 11652232482000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296872 + ... + 297128.

It is an arithmetic number, because the mean of its divisors is an integer number (1131975).

Almost surely, 2^76329000 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 76329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144892800).

76329000 is an abundant number, since it is smaller than the sum of its proper divisors (213456600).

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

76329000 is a wasteful number, since it uses less digits than its factorization.

76329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 76329000 is about 8736.6469540665. The cubic root of 76329000 is about 424.1927004700.

The spelling of 76329000 in words is "seventy-six million, three hundred twenty-nine thousand".