76387780 has 48 divisors (see below), whose sum is σ = 187608960. Its totient is φ = 25579008.

The previous prime is 76387763. The next prime is 76387781. The reversal of 76387780 is 8778367.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76387780.

It is not an unprimeable number, because it can be changed into a prime (76387781) 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, 325 + ... + 12364.

It is an arithmetic number, because the mean of its divisors is an integer number (3908520).

Almost surely, 2^76387780 is an apocalyptic number.

76387780 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 76387780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93804480).

76387780 is an abundant number, since it is smaller than the sum of its proper divisors (111221180).

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

76387780 is a wasteful number, since it uses less digits than its factorization.

76387780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12748 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 76387780 is about 8740.0102974768. The cubic root of 76387780 is about 424.3015610132.

The spelling of 76387780 in words is "seventy-six million, three hundred eighty-seven thousand, seven hundred eighty".