77361480 has 224 divisors, whose sum is σ = 299044800. Its totient is φ = 17635968.

The previous prime is 77361433. The next prime is 77361497. The reversal of 77361480 is 8416377.

77361480 = T₄₄₀ + T₄₄₁ + ... + T₈₁₈.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203931 + ... + 204309.

Almost surely, 2^77361480 is an apocalyptic number.

77361480 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 77361480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149522400).

77361480 is an abundant number, since it is smaller than the sum of its proper divisors (221683320).

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

77361480 is a wasteful number, since it uses less digits than its factorization.

77361480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77361480 is about 8795.5375048942. The cubic root of 77361480 is about 426.0967841989.

It can be divided in two parts, 77361 and 480, that added together give a square (77841 = 279²).

The spelling of 77361480 in words is "seventy-seven million, three hundred sixty-one thousand, four hundred eighty".