76159440 has 400 divisors, whose sum is σ = 319765248. Its totient is φ = 16422912.

The previous prime is 76159403. The next prime is 76159441. The reversal of 76159440 is 4495167.

76159440 is a `hidden beast` number, since 7 + 61 + 594 + 4 + 0 = 666.

It is a super-2 number, since 2×76159440² = 11600520602227200, 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 = 76159395 and 76159404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76159441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043244 + ... + 1043316.

Almost surely, 2^76159440 is an apocalyptic number.

76159440 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 76159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159882624).

76159440 is an abundant number, since it is smaller than the sum of its proper divisors (243605808).

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

76159440 is a wasteful number, since it uses less digits than its factorization.

76159440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76159440 is about 8726.9376072022. The cubic root of 76159440 is about 423.8783619273.

The spelling of 76159440 in words is "seventy-six million, one hundred fifty-nine thousand, four hundred forty".