77692680 has 144 divisors (see below), whose sum is σ = 273632580. Its totient is φ = 19109376.

The previous prime is 77692679. The next prime is 77692687. The reversal of 77692680 is 8629677.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11985444 + 65707236 = 3462^2 + 8106^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77692687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60202 + ... + 61478.

Almost surely, 2^77692680 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 77692680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136816290).

77692680 is an abundant number, since it is smaller than the sum of its proper divisors (195939900).

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

77692680 is a wasteful number, since it uses less digits than its factorization.

77692680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1300 counting only the distinct ones).

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

The square root of 77692680 is about 8814.3451259864. The cubic root of 77692680 is about 426.7039870784.

The spelling of 77692680 in words is "seventy-seven million, six hundred ninety-two thousand, six hundred eighty".