76242780 has 72 divisors (see below), whose sum is σ = 236933424. Its totient is φ = 19833600.

The previous prime is 76242767. The next prime is 76242787. The reversal of 76242780 is 8724267.

76242780 is a `hidden beast` number, since 7 + 624 + 27 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76242787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2215 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (3290742).

Almost surely, 2^76242780 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 76242780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118466712).

76242780 is an abundant number, since it is smaller than the sum of its proper divisors (160690644).

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

76242780 is a wasteful number, since it uses less digits than its factorization.

76242780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76242780 is about 8731.7111725022. The cubic root of 76242780 is about 424.0329198956.

It can be divided in two parts, 7624 and 2780, that added together give a square (10404 = 102²).

The spelling of 76242780 in words is "seventy-six million, two hundred forty-two thousand, seven hundred eighty".