76146000 has 320 divisors, whose sum is σ = 294028800. Its totient is φ = 16934400.

The previous prime is 76145999. The next prime is 76146011. The reversal of 76146000 is 64167.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2057982 + ... + 2058018.

It is an arithmetic number, because the mean of its divisors is an integer number (918840).

Almost surely, 2^76146000 is an apocalyptic number.

76146000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014400).

76146000 is an abundant number, since it is smaller than the sum of its proper divisors (217882800).

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

76146000 is a wasteful number, since it uses less digits than its factorization.

76146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 76146000 is about 8726.1675436586. The cubic root of 76146000 is about 423.8534262558.

The spelling of 76146000 in words is "seventy-six million, one hundred forty-six thousand".