77564620 has 48 divisors (see below), whose sum is σ = 190709568. Its totient is φ = 25943040.

The previous prime is 77564609. The next prime is 77564629. The reversal of 77564620 is 2646577.

It is a self number, because there is not a number n which added to its sum of digits gives 77564620.

It is not an unprimeable number, because it can be changed into a prime (77564629) 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, 1017 + ... + 12496.

It is an arithmetic number, because the mean of its divisors is an integer number (3973116).

Almost surely, 2^77564620 is an apocalyptic number.

77564620 is a gapful number since it is divisible by the number (70) 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 77564620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95354784).

77564620 is an abundant number, since it is smaller than the sum of its proper divisors (113144948).

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

77564620 is a wasteful number, since it uses less digits than its factorization.

77564620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13570 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 77564620 is about 8807.0778354685. The cubic root of 77564620 is about 426.4694143019.

The spelling of 77564620 in words is "seventy-seven million, five hundred sixty-four thousand, six hundred twenty".