977344920 has 128 divisors (see below), whose sum is σ = 3297369600. Its totient is φ = 257461632.

The previous prime is 977344889. The next prime is 977344961. The reversal of 977344920 is 29443779.

977344920 is a `hidden beast` number, since 97 + 73 + 4 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84189 + ... + 95091.

It is an arithmetic number, because the mean of its divisors is an integer number (25760700).

Almost surely, 2^977344920 is an apocalyptic number.

977344920 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 977344920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648684800).

977344920 is an abundant number, since it is smaller than the sum of its proper divisors (2320024680).

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

977344920 is a wasteful number, since it uses less digits than its factorization.

977344920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 977344920 is about 31262.5162135104. The cubic root of 977344920 is about 992.3905498063.

The spelling of 977344920 in words is "nine hundred seventy-seven million, three hundred forty-four thousand, nine hundred twenty".