76013840 has 80 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 25858560.

The previous prime is 76013837. The next prime is 76013849. The reversal of 76013840 is 4831067.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (76013849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82985 + ... + 83895.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^76013840 is an apocalyptic number.

76013840 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 76013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

76013840 is an abundant number, since it is smaller than the sum of its proper divisors (127544560).

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

76013840 is a wasteful number, since it uses less digits than its factorization.

76013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76013840 is about 8718.5916293860. The cubic root of 76013840 is about 423.6080690572.

The spelling of 76013840 in words is "seventy-six million, thirteen thousand, eight hundred forty".