77472780 has 192 divisors, whose sum is σ = 277724160. Its totient is φ = 15667200.

The previous prime is 77472743. The next prime is 77472797. The reversal of 77472780 is 8727477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189216 + ... + 189624.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^77472780 is an apocalyptic number.

77472780 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 77472780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

77472780 is an abundant number, since it is smaller than the sum of its proper divisors (200251380).

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

77472780 is a wasteful number, since it uses less digits than its factorization.

77472780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 77472780 is about 8801.8623029448. The cubic root of 77472780 is about 426.3010281671.

The spelling of 77472780 in words is "seventy-seven million, four hundred seventy-two thousand, seven hundred eighty".