977362848 has 480 divisors, whose sum is σ = 3688312320. Its totient is φ = 246551040.

The previous prime is 977362847. The next prime is 977362913. The reversal of 977362848 is 848263779.

977362848 is a `hidden beast` number, since 9 + 7 + 7 + 3 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×977362848² = 1910476273301342208, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 977362794 and 977362803.

It is not an unprimeable number, because it can be changed into a prime (977362847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11775415 + ... + 11775497.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2^977362848 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 977362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844156160).

977362848 is an abundant number, since it is smaller than the sum of its proper divisors (2710949472).

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

977362848 is a wasteful number, since it uses less digits than its factorization.

977362848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 977362848 is about 31262.8029453534. The cubic root of 977362848 is about 992.3966177660.

The spelling of 977362848 in words is "nine hundred seventy-seven million, three hundred sixty-two thousand, eight hundred forty-eight".