76906620 has 144 divisors (see below), whose sum is σ = 270885888. Its totient is φ = 17297280.

The previous prime is 76906619. The next prime is 76906639. The reversal of 76906620 is 2660967.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83965 + ... + 84875.

It is an arithmetic number, because the mean of its divisors is an integer number (1881152).

Almost surely, 2^76906620 is an apocalyptic number.

76906620 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 76906620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135442944).

76906620 is an abundant number, since it is smaller than the sum of its proper divisors (193979268).

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

76906620 is a wasteful number, since it uses less digits than its factorization.

76906620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76906620 is about 8769.6419539226. The cubic root of 76906620 is about 425.2600392459.

The spelling of 76906620 in words is "seventy-six million, nine hundred six thousand, six hundred twenty".