977688936 has 192 divisors, whose sum is σ = 3125865600. Its totient is φ = 270273024.

The previous prime is 977688931. The next prime is 977688937. The reversal of 977688936 is 639886779.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (977688931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269270 + ... + 4269498.

It is an arithmetic number, because the mean of its divisors is an integer number (16280550).

Almost surely, 2^977688936 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 977688936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562932800).

977688936 is an abundant number, since it is smaller than the sum of its proper divisors (2148176664).

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

977688936 is a wasteful number, since it uses less digits than its factorization.

977688936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 977688936 is about 31268.0177817527. The cubic root of 977688936 is about 992.5069734529.

The spelling of 977688936 in words is "nine hundred seventy-seven million, six hundred eighty-eight thousand, nine hundred thirty-six".