77013774 has 64 divisors (see below), whose sum is σ = 185518080. Its totient is φ = 23587200.

The previous prime is 77013773. The next prime is 77013787. The reversal of 77013774 is 47731077.

It is a super-2 number, since 2×77013774² = 11862242771446152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77013773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38499 + ... + 40449.

It is an arithmetic number, because the mean of its divisors is an integer number (2898720).

Almost surely, 2^77013774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77013774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92759040).

77013774 is an abundant number, since it is smaller than the sum of its proper divisors (108504306).

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

77013774 is a wasteful number, since it uses less digits than its factorization.

77013774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 77013774 is about 8775.7491987864. The cubic root of 77013774 is about 425.4574525383.

The spelling of 77013774 in words is "seventy-seven million, thirteen thousand, seven hundred seventy-four".