977484780 has 96 divisors (see below), whose sum is σ = 3045934080. Its totient is φ = 260245440.

The previous prime is 977484779. The next prime is 977484791. The reversal of 977484780 is 87484779.

977484780 is a `hidden beast` number, since 97 + 7 + 484 + 78 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490947 + ... + 492933.

It is an arithmetic number, because the mean of its divisors is an integer number (31728480).

Almost surely, 2^977484780 is an apocalyptic number.

977484780 is a gapful number since it is divisible by the number (90) 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 977484780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522967040).

977484780 is an abundant number, since it is smaller than the sum of its proper divisors (2068449300).

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

977484780 is a wasteful number, since it uses less digits than its factorization.

977484780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 977484780 is about 31264.7529975850. The cubic root of 977484780 is about 992.4378852349.

The spelling of 977484780 in words is "nine hundred seventy-seven million, four hundred eighty-four thousand, seven hundred eighty".