78977376 has 192 divisors, whose sum is σ = 257644800. Its totient is φ = 23390208.

The previous prime is 78977333. The next prime is 78977383. The reversal of 78977376 is 67377987.

It is a happy number.

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

Its product of digits (3111696) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278931 + ... + 279213.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 2^78977376 is an apocalyptic number.

78977376 is a gapful number since it is divisible by the number (76) 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 78977376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128822400).

78977376 is an abundant number, since it is smaller than the sum of its proper divisors (178667424).

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

78977376 is a wasteful number, since it uses less digits than its factorization.

78977376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 78977376 is about 8886.9216267502. The cubic root of 78977376 is about 429.0430784654.

The spelling of 78977376 in words is "seventy-eight million, nine hundred seventy-seven thousand, three hundred seventy-six".