76883040 has 288 divisors, whose sum is σ = 297833760. Its totient is φ = 18413568.

The previous prime is 76883033. The next prime is 76883071. The reversal of 76883040 is 4038867.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×76883040² = 11822003679283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76882986 and 76883004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2077902 + ... + 2077938.

It is an arithmetic number, because the mean of its divisors is an integer number (1034145).

Almost surely, 2^76883040 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 76883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148916880).

76883040 is an abundant number, since it is smaller than the sum of its proper divisors (220950720).

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

76883040 is a wasteful number, since it uses less digits than its factorization.

76883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76883040 is about 8768.2974402104. The cubic root of 76883040 is about 425.2165724341.

The spelling of 76883040 in words is "seventy-six million, eight hundred eighty-three thousand, forty".