76978944 has 288 divisors, whose sum is σ = 273405440. Its totient is φ = 20901888.

The previous prime is 76978933. The next prime is 76978969. The reversal of 76978944 is 44987967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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.

Its product of digits (3048192) is a multiple of the sum of its prime factors (112).

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, 1790187 + ... + 1790229.

Almost surely, 2^76978944 is an apocalyptic number.

76978944 is a gapful number since it is divisible by the number (74) 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 76978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136702720).

76978944 is an abundant number, since it is smaller than the sum of its proper divisors (196426496).

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

76978944 is a wasteful number, since it uses less digits than its factorization.

76978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 76978944 is about 8773.7645284108. The cubic root of 76978944 is about 425.3933041969.

It can be divided in two parts, 7697 and 8944, that added together give a square (16641 = 129²).

The spelling of 76978944 in words is "seventy-six million, nine hundred seventy-eight thousand, nine hundred forty-four".