77271480 has 384 divisors, whose sum is σ = 314496000. Its totient is φ = 16174080.

The previous prime is 77271479. The next prime is 77271487. The reversal of 77271480 is 8417277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77271487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978081 + ... + 978159.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^77271480 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 77271480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

77271480 is an abundant number, since it is smaller than the sum of its proper divisors (237224520).

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

77271480 is a wasteful number, since it uses less digits than its factorization.

77271480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 77271480 is about 8790.4197851980. The cubic root of 77271480 is about 425.9314840545.

The spelling of 77271480 in words is "seventy-seven million, two hundred seventy-one thousand, four hundred eighty".