76213720 has 128 divisors (see below), whose sum is σ = 207152640. Its totient is φ = 24893440.

The previous prime is 76213699. The next prime is 76213721. The reversal of 76213720 is 2731267.

It is a super-2 number, since 2×76213720² = 11617062232476800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76213721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171819 + ... + 172261.

It is an arithmetic number, because the mean of its divisors is an integer number (1618380).

Almost surely, 2^76213720 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 76213720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103576320).

76213720 is an abundant number, since it is smaller than the sum of its proper divisors (130938920).

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

76213720 is a wasteful number, since it uses less digits than its factorization.

76213720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 76213720 is about 8730.0469643639. The cubic root of 76213720 is about 423.9790395477.

Adding to 76213720 its reverse (2731267), we get a palindrome (78944987).

The spelling of 76213720 in words is "seventy-six million, two hundred thirteen thousand, seven hundred twenty".