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76514976 = 2533195979

76514976 has 192 divisors, whose sum is σ = 241920000. Its totient is φ = 23452416.

The previous prime is 76514947. The next prime is 76514983. The reversal of 76514976 is 67941567.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (317520) is a multiple of the sum of its prime divisors (162).

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 31 ways as a sum of consecutive naturals, for example, 968505 + ... + 968583.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 276514976 is an apocalyptic number.

76514976 is a gapful number since it is divisible by the number (76) 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 76514976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

76514976 is an abundant number, since it is smaller than the sum of its proper divisors (165405024).

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

76514976 is a wasteful number, since it uses less digits than its factorization.

76514976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 76514976 is about 8747.2839213095. The cubic root of 76514976 is about 424.5369369400.

The spelling of 76514976 in words is "seventy-six million, five hundred fourteen thousand, nine hundred seventy-six".