76314000 has 320 divisors, whose sum is σ = 297123840. Its totient is φ = 16473600.

The previous prime is 76313999. The next prime is 76314019. The reversal of 76314000 is 41367.

It is a super-3 number, since 3×76314000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 965961 + ... + 966039.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^76314000 is an apocalyptic number.

76314000 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 76314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

76314000 is an abundant number, since it is smaller than the sum of its proper divisors (220809840).

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

76314000 is a wasteful number, since it uses less digits than its factorization.

76314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76314000 is about 8735.7884589772. The cubic root of 76314000 is about 424.1649115241.

Adding to 76314000 its reverse (41367), we get a palindrome (76355367).

The spelling of 76314000 in words is "seventy-six million, three hundred fourteen thousand".