77474880 has 420 divisors, whose sum is σ = 325841868. Its totient is φ = 17418240.

The previous prime is 77474869. The next prime is 77474893. The reversal of 77474880 is 8847477.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 65028096 = 3528^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270050 + ... + 1270110.

Almost surely, 2^77474880 is an apocalyptic number.

77474880 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 77474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162920934).

77474880 is an abundant number, since it is smaller than the sum of its proper divisors (248366988).

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

77474880 is a wasteful number, since it uses less digits than its factorization.

77474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 77474880 is about 8801.9815950728. The cubic root of 77474880 is about 426.3048799461.

The spelling of 77474880 in words is "seventy-seven million, four hundred seventy-four thousand, eight hundred eighty".