76426560 has 336 divisors, whose sum is σ = 319527936. Its totient is φ = 16367616.

The previous prime is 76426517. The next prime is 76426561. The reversal of 76426560 is 6562467.

76426560 is a `hidden beast` number, since 7 + 642 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76426561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342609 + ... + 342831.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^76426560 is an apocalyptic number.

76426560 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 76426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

76426560 is an abundant number, since it is smaller than the sum of its proper divisors (243101376).

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

76426560 is a wasteful number, since it uses less digits than its factorization.

76426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 76426560 is about 8742.2285488312. The cubic root of 76426560 is about 424.3733509899.

The spelling of 76426560 in words is "seventy-six million, four hundred twenty-six thousand, five hundred sixty".