77021016 has 64 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 24046080.

The previous prime is 77020969. The next prime is 77021017. The reversal of 77021016 is 61012077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77021017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126585 + ... + 127191.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2^77021016 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 77021016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

77021016 is an abundant number, since it is smaller than the sum of its proper divisors (127850664).

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

77021016 is a wasteful number, since it uses less digits than its factorization.

77021016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 77021016 is about 8776.1618034309. The cubic root of 77021016 is about 425.4707881021.

The spelling of 77021016 in words is "seventy-seven million, twenty-one thousand, sixteen".