76419840 has 144 divisors (see below), whose sum is σ = 279030528. Its totient is φ = 17461248.

The previous prime is 76419797. The next prime is 76419841. The reversal of 76419840 is 4891467.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76419841) 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, 25459 + ... + 28301.

It is an arithmetic number, because the mean of its divisors is an integer number (1937712).

Almost surely, 2^76419840 is an apocalyptic number.

76419840 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 76419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139515264).

76419840 is an abundant number, since it is smaller than the sum of its proper divisors (202610688).

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

76419840 is a wasteful number, since it uses less digits than its factorization.

76419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 76419840 is about 8741.8441990235. The cubic root of 76419840 is about 424.3609125893.

The spelling of 76419840 in words is "seventy-six million, four hundred nineteen thousand, eight hundred forty".