77542080 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 16097280.

The previous prime is 77542079. The next prime is 77542099. The reversal of 77542080 is 8024577.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 73396 + ... + 74444.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^77542080 is an apocalyptic number.

77542080 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 77542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

77542080 is an abundant number, since it is smaller than the sum of its proper divisors (229696320).

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

77542080 is a wasteful number, since it uses less digits than its factorization.

77542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 77542080 is about 8805.7980898951. The cubic root of 77542080 is about 426.4281001396.

The spelling of 77542080 in words is "seventy-seven million, five hundred forty-two thousand, eighty".