76797440 has 80 divisors (see below), whose sum is σ = 186349680. Its totient is φ = 30351360.

The previous prime is 76797439. The next prime is 76797443. The reversal of 76797440 is 4479767.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 76797391 and 76797400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76797443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335246 + ... + 335474.

It is an arithmetic number, because the mean of its divisors is an integer number (2329371).

Almost surely, 2^76797440 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 76797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93174840).

76797440 is an abundant number, since it is smaller than the sum of its proper divisors (109552240).

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

76797440 is a wasteful number, since it uses less digits than its factorization.

76797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 76797440 is about 8763.4148595168. The cubic root of 76797440 is about 425.0587046936.

The spelling of 76797440 in words is "seventy-six million, seven hundred ninety-seven thousand, four hundred forty".