97777764 has 72 divisors (see below), whose sum is σ = 283378368. Its totient is φ = 27846720.

The previous prime is 97777759. The next prime is 97777769. The reversal of 97777764 is 46777779.

It is an interprime number because it is at equal distance from previous prime (97777759) and next prime (97777769).

It is a super-2 number, since 2×97777764² = 19120982265679392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 97777764.

It is not an unprimeable number, because it can be changed into a prime (97777769) 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, 147594 + ... + 148254.

Almost surely, 2^97777764 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 97777764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141689184).

97777764 is an abundant number, since it is smaller than the sum of its proper divisors (185600604).

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

97777764 is a wasteful number, since it uses less digits than its factorization.

97777764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1260 counting only the distinct ones).

The product of its digits is 3630312, while the sum is 54.

The square root of 97777764 is about 9888.2639527877. The cubic root of 97777764 is about 460.6948603620.

The spelling of 97777764 in words is "ninety-seven million, seven hundred seventy-seven thousand, seven hundred sixty-four".