977577930 has 192 divisors, whose sum is σ = 3192912000. Its totient is φ = 211631616.

The previous prime is 977577859. The next prime is 977577941. The reversal of 977577930 is 39775779.

It is a happy number.

977577930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249426 + ... + 253314.

It is an arithmetic number, because the mean of its divisors is an integer number (16629750).

Almost surely, 2^977577930 is an apocalyptic number.

977577930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 977577930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596456000).

977577930 is an abundant number, since it is smaller than the sum of its proper divisors (2215334070).

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

977577930 is a wasteful number, since it uses less digits than its factorization.

977577930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 2917215, while the sum is 54.

The square root of 977577930 is about 31266.2426588166. The cubic root of 977577930 is about 992.4694092220.

The spelling of 977577930 in words is "nine hundred seventy-seven million, five hundred seventy-seven thousand, nine hundred thirty".