76386640 has 80 divisors (see below), whose sum is σ = 197058816. Its totient is φ = 27302400.

The previous prime is 76386613. The next prime is 76386641. The reversal of 76386640 is 4668367.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 76386593 and 76386602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76386641) 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, 52969 + ... + 54391.

Almost surely, 2^76386640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98529408).

76386640 is an abundant number, since it is smaller than the sum of its proper divisors (120672176).

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

76386640 is a wasteful number, since it uses less digits than its factorization.

76386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 76386640 is about 8739.9450799190. The cubic root of 76386640 is about 424.2994502646.

The spelling of 76386640 in words is "seventy-six million, three hundred eighty-six thousand, six hundred forty".