76850928 has 240 divisors, whose sum is σ = 278553600. Its totient is φ = 19192320.

The previous prime is 76850927. The next prime is 76850941. The reversal of 76850928 is 82905867.

It is a super-2 number, since 2×76850928² = 11812130268922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76850923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321433 + ... + 321671.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 2^76850928 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 76850928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

76850928 is an abundant number, since it is smaller than the sum of its proper divisors (201702672).

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

76850928 is a wasteful number, since it uses less digits than its factorization.

76850928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 76850928 is about 8766.4661067046. The cubic root of 76850928 is about 425.1573636408.

The spelling of 76850928 in words is "seventy-six million, eight hundred fifty thousand, nine hundred twenty-eight".