77620000 has 60 divisors (see below), whose sum is σ = 191006046. Its totient is φ = 31040000.

The previous prime is 77619991. The next prime is 77620007. The reversal of 77620000 is 2677.

It can be written as a sum of positive squares in 5 ways, for example, as 2347024 + 75272976 = 1532^2 + 8676^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77620007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18060 + ... + 21940.

Almost surely, 2^77620000 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 77620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95503023).

77620000 is an abundant number, since it is smaller than the sum of its proper divisors (113386046).

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

77620000 is an equidigital number, since it uses as much as digits as its factorization.

77620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 77620000 is about 8810.2213366067. The cubic root of 77620000 is about 426.5708877892.

Adding to 77620000 its reverse (2677), we get a palindrome (77622677).

The spelling of 77620000 in words is "seventy-seven million, six hundred twenty thousand".