77990976 has 252 divisors, whose sum is σ = 276100032. Its totient is φ = 20579328.

The previous prime is 77990963. The next prime is 77990987. The reversal of 77990976 is 67909977.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2689330 + ... + 2689358.

Almost surely, 2^77990976 is an apocalyptic number.

77990976 is the 4416-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138050016).

77990976 is an abundant number, since it is smaller than the sum of its proper divisors (198109056).

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

77990976 is a wasteful number, since it uses less digits than its factorization.

77990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 77990976 is about 8831.2499681529. The cubic root of 77990976 is about 427.2493904096.

The spelling of 77990976 in words is "seventy-seven million, nine hundred ninety thousand, nine hundred seventy-six".