76929020 has 72 divisors (see below), whose sum is σ = 196154784. Its totient is φ = 25221504.

The previous prime is 76929001. The next prime is 76929037. The reversal of 76929020 is 2092967.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20834 + ... + 24246.

It is an arithmetic number, because the mean of its divisors is an integer number (2724372).

Almost surely, 2^76929020 is an apocalyptic number.

76929020 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 76929020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98077392).

76929020 is an abundant number, since it is smaller than the sum of its proper divisors (119225764).

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

76929020 is a wasteful number, since it uses less digits than its factorization.

76929020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 76929020 is about 8770.9189940393. The cubic root of 76929020 is about 425.3013226456.

The spelling of 76929020 in words is "seventy-six million, nine hundred twenty-nine thousand, twenty".