77299920 has 200 divisors, whose sum is σ = 273672960. Its totient is φ = 20217600.

The previous prime is 77299907. The next prime is 77299931. The reversal of 77299920 is 2999277.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 511845 + ... + 511995.

Almost surely, 2^77299920 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 77299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136836480).

77299920 is an abundant number, since it is smaller than the sum of its proper divisors (196373040).

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

77299920 is a wasteful number, since it uses less digits than its factorization.

77299920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 77299920 is about 8792.0373065633. The cubic root of 77299920 is about 425.9837327651.

It can be divided in two parts, 7 and 7299920, that added together give a palindrome (7299927).

The spelling of 77299920 in words is "seventy-seven million, two hundred ninety-nine thousand, nine hundred twenty".