76493620 has 96 divisors (see below), whose sum is σ = 195552000. Its totient is φ = 24551424.

The previous prime is 76493611. The next prime is 76493621. The reversal of 76493620 is 2639467.

It is a self number, because there is not a number n which added to its sum of digits gives 76493620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76493621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396244 + ... + 396436.

It is an arithmetic number, because the mean of its divisors is an integer number (2037000).

Almost surely, 2^76493620 is an apocalyptic number.

76493620 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 76493620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97776000).

76493620 is an abundant number, since it is smaller than the sum of its proper divisors (119058380).

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

76493620 is a wasteful number, since it uses less digits than its factorization.

76493620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 76493620 is about 8746.0631143389. The cubic root of 76493620 is about 424.4974359389.

The spelling of 76493620 in words is "seventy-six million, four hundred ninety-three thousand, six hundred twenty".