78920766 has 48 divisors (see below), whose sum is σ = 181818000. Its totient is φ = 24655104.

The previous prime is 78920747. The next prime is 78920767. The reversal of 78920766 is 66702987.

It is a happy number.

78920766 is a nontrivial binomial coefficient, being equal to C(12564, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78920767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106425 + ... + 107163.

It is an arithmetic number, because the mean of its divisors is an integer number (3787875).

Almost surely, 2^78920766 is an apocalyptic number.

78920766 is the 12563-rd triangular number and also the 6282-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78920766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90909000).

78920766 is an abundant number, since it is smaller than the sum of its proper divisors (102897234).

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

78920766 is a wasteful number, since it uses less digits than its factorization.

78920766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 78920766 is about 8883.7360384019. The cubic root of 78920766 is about 428.9405430502.

The spelling of 78920766 in words is "seventy-eight million, nine hundred twenty thousand, seven hundred sixty-six".