977484096 has 84 divisors (see below), whose sum is σ = 2827667700. Its totient is φ = 322818048.

The previous prime is 977484083. The next prime is 977484097. The reversal of 977484096 is 690484779.

It is a happy number.

977484096 is a `hidden beast` number, since 9 + 77 + 484 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525326400 + 452157696 = 22920^2 + 21264^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977484097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55000 + ... + 70568.

Almost surely, 2^977484096 is an apocalyptic number.

977484096 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 977484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413833850).

977484096 is an abundant number, since it is smaller than the sum of its proper divisors (1850183604).

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

977484096 is a wasteful number, since it uses less digits than its factorization.

977484096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15696 (or 15683 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 977484096 is about 31264.7420587473. The cubic root of 977484096 is about 992.4376537470.

The spelling of 977484096 in words is "nine hundred seventy-seven million, four hundred eighty-four thousand, ninety-six".