977736096 has 120 divisors (see below), whose sum is σ = 3044778660. Its totient is φ = 306726912.

The previous prime is 977736059. The next prime is 977736119. The reversal of 977736096 is 690637779.

It can be written as a sum of positive squares in 2 ways, for example, as 925376400 + 52359696 = 30420^2 + 7236^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32970 + ... + 55158.

Almost surely, 2^977736096 is an apocalyptic number.

977736096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977736096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522389330).

977736096 is an abundant number, since it is smaller than the sum of its proper divisors (2067042564).

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

977736096 is a wasteful number, since it uses less digits than its factorization.

977736096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22228 (or 22211 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 977736096 is about 31268.7718978536. The cubic root of 977736096 is about 992.5229314516.

The spelling of 977736096 in words is "nine hundred seventy-seven million, seven hundred thirty-six thousand, ninety-six".