76805274 has 64 divisors (see below), whose sum is σ = 190439424. Its totient is φ = 20108736.

The previous prime is 76805273. The next prime is 76805291. The reversal of 76805274 is 47250867.

It is a super-2 number, since 2×76805274² = 11798100228430152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (76805273) 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, 88567 + ... + 89429.

It is an arithmetic number, because the mean of its divisors is an integer number (2975616).

Almost surely, 2^76805274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76805274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219712).

76805274 is an abundant number, since it is smaller than the sum of its proper divisors (113634150).

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

76805274 is a wasteful number, since it uses less digits than its factorization.

76805274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051.

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 76805274 is about 8763.8618199969. The cubic root of 76805274 is about 425.0731574179.

The spelling of 76805274 in words is "seventy-six million, eight hundred five thousand, two hundred seventy-four".