76061440 has 144 divisors (see below), whose sum is σ = 224578368. Its totient is φ = 24035328.

The previous prime is 76061429. The next prime is 76061467. The reversal of 76061440 is 4416067.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 76061399 and 76061408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116154 + ... + 116806.

It is an arithmetic number, because the mean of its divisors is an integer number (1559572).

Almost surely, 2^76061440 is an apocalyptic number.

76061440 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 76061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112289184).

76061440 is an abundant number, since it is smaller than the sum of its proper divisors (148516928).

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

76061440 is a wasteful number, since it uses less digits than its factorization.

76061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 76061440 is about 8721.3210008576. The cubic root of 76061440 is about 423.6964719791.

The spelling of 76061440 in words is "seventy-six million, sixty-one thousand, four hundred forty".